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100212221022102 = 23272193588701027
BaseRepresentation
bin10110110010010001111001…
…110101100000111110010110
3111010211012020222121110110100
4112302101321311200332112
5101113334112040201402
6553044505255434530
730052044154104300
oct2662217165407626
9433735228543410
10100212221022102
1129a26845270142
12b2a5972085a46
1343bbc83334637
141aa6424006970
15b8bb3aac271c
hex5b2479d60f96

100212221022102 has 72 divisors (see below), whose sum is σ = 253884382737336. Its totient is φ = 28483710441984.

The previous prime is 100212221022077. The next prime is 100212221022103. The reversal of 100212221022102 is 201220122212001.

It is a happy number.

100212221022102 is a `hidden beast` number, since 10 + 0 + 212 + 221 + 0 + 221 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212221022103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294180288 + ... + 294520739.

It is an arithmetic number, because the mean of its divisors is an integer number (3526171982463).

Almost surely, 2100212221022102 is an apocalyptic number.

100212221022102 is an abundant number, since it is smaller than the sum of its proper divisors (153672161715234).

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

100212221022102 is a wasteful number, since it uses less digits than its factorization.

100212221022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588701242 (or 588701232 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100212221022102 its reverse (201220122212001), we get a palindrome (301432343234103).

The spelling of 100212221022102 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 193 294 386 441 579 882 1158 1351 1737 2702 3474 4053 8106 9457 12159 18914 24318 28371 56742 85113 170226 588701027 1177402054 1766103081 3532206162 4120907189 5298309243 8241814378 10596618486 12362721567 24725443134 28846350323 37088164701 57692700646 74176329402 86539050969 113619298211 173078101938 227238596422 259617152907 340857894633 519234305814 681715789266 795335087477 1022573683899 1590670174954 2045147367798 2386005262431 4772010524862 5567345612339 7158015787293 11134691224678 14316031574586 16702036837017 33404073674034 50106110511051 100212221022102