102202112100200 has 96 divisors (see below), whose sum is σ = 277107767688000. Its totient is φ = 35040724125120.

The previous prime is 102202112100181. The next prime is 102202112100247. The reversal of 102202112100200 is 2001211202201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744844754 + ... + 744981953.

It is an arithmetic number, because the mean of its divisors is an integer number (2886539246750).

Almost surely, 2^{102202112100200} is an apocalyptic number.

102202112100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202112100200 is an abundant number, since it is smaller than the sum of its proper divisors (174905655587800).

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

102202112100200 is a wasteful number, since it uses less digits than its factorization.

102202112100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489826744 (or 1489826721 counting only the distinct ones).

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

Adding to 102202112100200 its reverse (2001211202201), we get a palindrome (104203323302401).

The spelling of 102202112100200 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, one hundred thousand, two hundred".