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100121044212220 = 225312392692511791
BaseRepresentation
bin10110110000111100111111…
…010001100101100111111100
3111010111110220201100121122211
4112300330333101211213330
5101110340344304242340
6552534550040150204
730042335545026163
oct2660747721454774
9433443821317584
10100121044212220
11299a11073423a9
12b290167168364
1343b34b277a365
141aa1c54ad43da
15b895a128b5ea
hex5b0f3f4659fc

100121044212220 has 96 divisors (see below), whose sum is σ = 218754979430400. Its totient is φ = 38450883206400.

The previous prime is 100121044212199. The next prime is 100121044212253. The reversal of 100121044212220 is 22212440121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121044212191 and 100121044212200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38604525 + ... + 41116315.

It is an arithmetic number, because the mean of its divisors is an integer number (2278697702400).

Almost surely, 2100121044212220 is an apocalyptic number.

100121044212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121044212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109377489715200).

100121044212220 is an abundant number, since it is smaller than the sum of its proper divisors (118633935218180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121044212220 is a wasteful number, since it uses less digits than its factorization.

100121044212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512339 (or 2512337 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 100121044212220 its reverse (22212440121001), we get a palindrome (122333484333221).

The spelling of 100121044212220 in words is "one hundred trillion, one hundred twenty-one billion, forty-four million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 239 269 310 478 538 620 956 1076 1195 1345 2390 2690 4780 5380 7409 8339 14818 16678 29636 33356 37045 41695 64291 74090 83390 128582 148180 166780 257164 321455 642910 1285820 1993021 2511791 3986042 5023582 7972084 9965105 10047164 12558955 19930210 25117910 39860420 50235820 77865521 155731042 311462084 389327605 600318049 675671779 778655210 1200636098 1351343558 1557310420 2401272196 2702687116 3001590245 3378358895 6003180490 6756717790 12006360980 13513435580 18609859519 20945825149 37219719038 41891650298 74439438076 83783300596 93049297595 104729125745 161485555181 186098595190 209458251490 322971110362 372197190380 418916502980 645942220724 807427775905 1614855551810 3229711103620 5006052210611 10012104421222 20024208842444 25030261053055 50060522106110 100121044212220