102100112112200 has 48 divisors (see below), whose sum is σ = 237384074780160. Its totient is φ = 40839818760000.

The previous prime is 102100112112149. The next prime is 102100112112241. The reversal of 102100112112200 is 2211211001201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37474145 + ... + 40106255.

It is an arithmetic number, because the mean of its divisors is an integer number (4945501557920).

Almost surely, 2^{102100112112200} is an apocalyptic number.

102100112112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100112112200 is an abundant number, since it is smaller than the sum of its proper divisors (135283962667960).

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

102100112112200 is a wasteful number, since it uses less digits than its factorization.

102100112112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826078 (or 2826069 counting only the distinct ones).

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

Adding to 102100112112200 its reverse (2211211001201), we get a palindrome (104311323113401).

The spelling of 102100112112200 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand, two hundred".