102112112200 has 96 divisors (see below), whose sum is σ = 271392183360. Its totient is φ = 35001388800.

The previous prime is 102112112191. The next prime is 102112112213. The reversal of 102112112200 is 2211211201.

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, 9207859 + ... + 9218941.

It is an arithmetic number, because the mean of its divisors is an integer number (2827001910).

Almost surely, 2^102112112200 is an apocalyptic number.

102112112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112112200 is an abundant number, since it is smaller than the sum of its proper divisors (169280071160).

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

102112112200 is a wasteful number, since it uses less digits than its factorization.

102112112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17687 (or 17678 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112112200 its reverse (2211211201), we get a palindrome (104323323401).

Subtracting from 102112112200 its reverse (2211211201), we obtain a palindrome (99900900999).

The spelling of 102112112200 in words is "one hundred two billion, one hundred twelve million, one hundred twelve thousand, two hundred".