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100202110020100 = 225211118543768437
BaseRepresentation
bin10110110010001000011111…
…001011000110101000000100
3111010210020011022222100012201
4112302020133023012220010
5101113202410131120400
6553040114105524244
730051235461025324
oct2662103713065004
9433706138870181
10100202110020100
1129a2252692a740
12b2a3a0baa3684
1343bb031650a0a
141aa5b4522b284
15b8b7480da06a
hex5b221f2c6a04

100202110020100 has 72 divisors (see below), whose sum is σ = 237208031964288. Its totient is φ = 36436776124800.

The previous prime is 100202110020097. The next prime is 100202110020101. The reversal of 100202110020100 is 1020011202001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100202110020101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130013082 + ... + 130781518.

It is an arithmetic number, because the mean of its divisors is an integer number (3294555999504).

Almost surely, 2100202110020100 is an apocalyptic number.

100202110020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202110020100 is an abundant number, since it is smaller than the sum of its proper divisors (137005921944188).

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

100202110020100 is a wasteful number, since it uses less digits than its factorization.

100202110020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887005 (or 886998 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100202110020100 its reverse (1020011202001), we get a palindrome (101222121222101).

The spelling of 100202110020100 in words is "one hundred trillion, two hundred two billion, one hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 118543 237086 474172 592715 768437 1185430 1303973 1536874 2370860 2607946 2963575 3073748 3842185 5215892 5927150 6519865 7684370 8452807 11854300 13039730 15368740 16905614 19210925 26079460 32599325 33811228 38421850 42264035 65198650 76843700 84528070 130397300 169056140 211320175 422640350 845280700 91092827291 182185654582 364371309164 455464136455 910928272910 1002021100201 1821856545820 2004042200402 2277320682275 4008084400804 4554641364550 5010105501005 9109282729100 10020211002010 20040422004020 25050527505025 50101055010050 100202110020100