102112012100 has 72 divisors (see below), whose sum is σ = 264248170368. Its totient is φ = 33487660800.

The previous prime is 102112012069. The next prime is 102112012127. The reversal of 102112012100 is 1210211201.

It is a super-2 number, since 2×102112012100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3155081 + ... + 3187280.

Almost surely, 2^102112012100 is an apocalyptic number.

102112012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112012100 is an abundant number, since it is smaller than the sum of its proper divisors (162136158268).

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

102112012100 is a wasteful number, since it uses less digits than its factorization.

102112012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342405 (or 6342398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102112012100 its reverse (1210211201), we get a palindrome (103322223301).

The spelling of 102112012100 in words is "one hundred two billion, one hundred twelve million, twelve thousand, one hundred".