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102222112100 = 22521022221121
BaseRepresentation
bin101111100110011101…
…0011010010101100100
3100202212000221022222212
41133030322122111210
53133322330041400
6114543222342552
710246105421303
oct1371472322544
9322760838885
10102222112100
113a396798889
1217989b8aa58
139840cb3984
144d3a21643a
1529d4373335
hex17cce9a564

102222112100 has 18 divisors (see below), whose sum is σ = 221821983474. Its totient is φ = 40888844800.

The previous prime is 102222112067. The next prime is 102222112117. The reversal of 102222112100 is 1211222201.

It can be written as a sum of positive squares in 3 ways, for example, as 9566404864 + 92655707236 = 97808^2 + 304394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511110461 + ... + 511110660.

Almost surely, 2102222112100 is an apocalyptic number.

102222112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222112100 is an abundant number, since it is smaller than the sum of its proper divisors (119599871374).

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

102222112100 is a wasteful number, since it uses less digits than its factorization.

102222112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022221135 (or 1022221128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102222112100 its reverse (1211222201), we get a palindrome (103433334301).

The spelling of 102222112100 in words is "one hundred two billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1022221121 2044442242 4088884484 5111105605 10222211210 20444422420 25555528025 51111056050 102222112100