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100102110101220 = 223510984017182179
BaseRepresentation
bin10110110000101011010110…
…101101101011111011100100
3111010102200001011111010020110
4112300223112231223323210
5101110033110141214340
6552522135144333020
730041065414525323
oct2660532655537344
9433380034433213
10100102110101220
112999408054a587
12b288562174170
1343b1785b6c196
141aa0d7a1cc0ba
15b88d43db9680
hex5b0ad6b6bee4

100102110101220 has 96 divisors (see below), whose sum is σ = 282862257955200. Its totient is φ = 26448537913344.

The previous prime is 100102110101209. The next prime is 100102110101237. The reversal of 100102110101220 is 22101011201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100102110101196 and 100102110101205.

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, 549380091 + ... + 549562269.

It is an arithmetic number, because the mean of its divisors is an integer number (2946481853700).

Almost surely, 2100102110101220 is an apocalyptic number.

100102110101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102110101220 is an abundant number, since it is smaller than the sum of its proper divisors (182760147853980).

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

100102110101220 is a wasteful number, since it uses less digits than its factorization.

100102110101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266317 (or 266315 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102110101220 its reverse (22101011201001), we get a palindrome (122203121302221).

The spelling of 100102110101220 in words is "one hundred trillion, one hundred two billion, one hundred ten million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 84017 168034 182179 252051 336068 364358 420085 504102 546537 728716 840170 910895 1008204 1093074 1260255 1680340 1821790 2186148 2520510 2732685 3643580 5041020 5465370 9157853 10930740 18315706 19857511 27473559 36631412 39715022 45789265 54947118 59572533 79430044 91578530 99287555 109894236 119145066 137367795 183157060 198575110 238290132 274735590 297862665 397150220 549471180 595725330 1191450660 15306133043 30612266086 45918399129 61224532172 76530665215 91836798258 153061330430 183673596516 229591995645 306122660860 459183991290 918367982580 1668368501687 3336737003374 5005105505061 6673474006748 8341842508435 10010211010122 16683685016870 20020422020244 25025527525305 33367370033740 50051055050610 100102110101220