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100102210102212 = 223232139113446721
BaseRepresentation
bin10110110000101011011100…
…101011001010001111000100
3111010102200022010122200210220
4112300223130223022033010
5101110033311241232322
6552522153115544340
730041101040523363
oct2660533453121704
9433380263580726
10100102210102212
1129994121a4182a
12b28858b75b0b0
1343b17a07b3276
141aa0d895bd7da
15b88d4ca6e55c
hex5b0adcaca3c4

100102210102212 has 72 divisors (see below), whose sum is σ = 245925266082720. Its totient is φ = 31687030256640.

The previous prime is 100102210102199. The next prime is 100102210102217. The reversal of 100102210102212 is 212201012201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102210102191 and 100102210102200.

It is not an unprimeable number, because it can be changed into a prime (100102210102217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55840989 + ... + 57605732.

Almost surely, 2100102210102212 is an apocalyptic number.

100102210102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102210102212 is an abundant number, since it is smaller than the sum of its proper divisors (145823055980508).

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

100102210102212 is a wasteful number, since it uses less digits than its factorization.

100102210102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113446913 (or 113446888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100102210102212 its reverse (212201012201001), we get a palindrome (312303222303213).

The spelling of 100102210102212 in words is "one hundred trillion, one hundred two billion, two hundred ten million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 139 276 278 417 529 556 834 1058 1587 1668 2116 3174 3197 6348 6394 9591 12788 19182 38364 73531 147062 220593 294124 441186 882372 113446721 226893442 340340163 453786884 680680326 1361360652 2609274583 5218549166 7827823749 10437098332 15655647498 15769094219 31311294996 31538188438 47307282657 60013315409 63076376876 94614565314 120026630818 180039946227 189229130628 240053261636 360079892454 362689167037 720159784908 725378334074 1088067501111 1450756668148 2176135002222 4352270004444 8341850841851 16683701683702 25025552525553 33367403367404 50051105051106 100102210102212