102112010122100 has 54 divisors (see below), whose sum is σ = 243558241692822. Its totient is φ = 37131640040000.

The previous prime is 102112010122081. The next prime is 102112010122139. The reversal of 102112010122100 is 1221010211201.

It can be written as a sum of positive squares in 3 ways, for example, as 8179755364 + 102103830366736 = 90442^2 + 10104644^2 .

It is a super-2 number, since 2×102112010122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4219492451 + ... + 4219516650.

Almost surely, 2^{102112010122100} is an apocalyptic number.

102112010122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112010122100 is an abundant number, since it is smaller than the sum of its proper divisors (141446231570722).

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

102112010122100 is a wasteful number, since it uses less digits than its factorization.

102112010122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8439009137 (or 8439009119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112010122100 its reverse (1221010211201), we get a palindrome (103333020333301).

The spelling of 102112010122100 in words is "one hundred two trillion, one hundred twelve billion, ten million, one hundred twenty-two thousand, one hundred".