What is the factorial of 5101?


5101 Factorial

Here we will show you how to calculate the factorial of 5101 (aka 5101 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 5101 can be written as 5101 followed by an exclamation mark like this: 5101!

Factorial of 5101 means that you multiply 5101 by every number below it. Therefore, you calculate the factorial of 5101 by multiplying 5101 by 5100, then by 5099, and so on all the way down to 1. In other words, we calculate 5101 × 5100 × 5099 × ... × 1 to get 5101 factorial.


The answer to 5101 factorial (5101!) contains 16700 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 5101 factorial:

4.6406395282 × 1016699

The answer above is also sometimes written as 4.6406395282e+16699. Regardless, it means that the approximate answer to 5101! is 46406395282 followed by 16689 more digits.


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Like we promised, below is the exact answer to 5101 factorial (5101!) with all 16700 digits:

46406395282815982286904488040401014679457327029961504931902889736100283550237435491279406390631753702157677128915560848559221067095869673228140567302696466181635145452510305832932391379093138984781739397667976282184792676762329893021948400018881564700263336872079689866512761266743634928470531201852520504592705905090920163024123172163148308568434256783457591053417891033372233114165787429663310729518605444856048255585074767073472963885236807157201385508925103202485945015788086481401177582222422422771451637350715200197213336589846717219251959861009519718868831149372728907630179155471902063862946707401535015023434328320422371863798624356333583713077150220824091622868271939351949160988928246570917334470896638967201969509340724051027262149691208197000619306354264687023148072229618978348574206464614036620761446031435781618211100648636317915984907775609503531359064662253393796014603509756482635365255841975506686173585054619156510312701022156794160944895526435103112117479196877722469174734859742264532335877335937465697542304861652827052553964302854990747012757951147733892979511857854675830563165021456135037648413824256091462916300521037373918439766883936712186125047034324319043303351533718540200429560888844962264695223644851340648936103185685409222847293152980465758609812322945099379005761806347678428466741628161042030530222307652620698613243961709658384868840100742148395013311258192315333403872484862857343441642514683811178896951199653093396232057634967888964545264787306291763406198537707568440168685294100976995706002856173907367891532683965298445741896192210634222055008752783323697500074942152234535339168259683885942988789923170550993365646888791876096306216286290677452244937914505633771273985526004548022418947073093886332317437808804043133455204619086110933933809721518738820292200894465874136462933776611968438396085549879977881828720556285891398021680489579154404773339320527080298748329059568787822074345691695237472783871755360131596497310026240093616498829322066829142093778863383320357623461718944582715316570979453980489575858836364339230830659794531464347642434629689076961661494891458164086481967333050157626695313383369955785068933196263904263821165876695792123366883004430093611750440102198377910139725910385702729157495811551872666179087303109793575452205577620089964882239284171522894967832560136366070369973779997517239851799469344867893765184218525734064440305381764361937355864189831507664850851788816098899784867401384313950011590547461858085453523228748532213734940092159724144773585971281912259853871967211981099959205754575006791834601223851292476272478559595480175821705566735023884424290509790877645549176134249872933728981674017568098863829605071840675290703837534277888731718335061235547655967682933710591689467871009462089796273755169357313683776452972356273283088639373053205434196927176153956661529030958493368575282663988140531245530204921761262619623759043777696035400590715733509830818275553196406121546929146331566731926617082287610755891967731414932737748096609513421186580550791718635821230279583433404348127135856830207077613455244960628467205801714586439877478904616425001959034410100187531368183709206127754098423611936096175135144848041210237560913372413906190472938824481227723540926571415675879412316278142544657974718694240549888486464797250172312829321402524731517728229273162710919692620890605453255362321186147014438694851269030190875442847489824810478500923014702224900233756136749276025035676843733003140354207097649030190278046712068222941685968336383758232696962997667572741772267894805888406973243387665552210200023762055374064576349920104634253091484644628453184067166477944259954341536545038287533548629409364501943176827061162599713472657474211102249743472508532786345567347956400907522777998542128260686480841131469673201158843539556636605586557728186461529884833058046771031779604041658191135948346102654727265285675178019502969544152209325611858811031539582373425839136853838728005594124857224420171785396363013238291297536222094510519235656991825008427235383016141819002100412781726087034723284199190760056116497456521364153883833946764756504153488177008495058113215926971654303716567390242096539689656017238790094280491376491567921778084642001734469179056767853275085255980660300963357528415193726685081597740344986341296052059389577771467622499879650219386027338079501536563792724176636080766667889685690860600294127649554949371082323287225876979444665194239851501462059858878035051386679850028879673816878378070110893229087474780170658733946186569556699511331693293761167693872503507373605285953944549416702480478544430755966336450157366542525243374762785490071005699279651410555002502677346822359296446914732517067601624545693318831014611097920530597975139075268291399893166977604168264051545166625710030675308145889155710807917207999056383052798713110185779254720183026794327036088480276572624642111770361832940001955033065415031932974377079320489346778499574132571849663915403022061465917065670979461310754620419103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