102112021210200 has 192 divisors, whose sum is σ = 336156392649600. Its totient is φ = 25568431257600.

The previous prime is 102112021210151. The next prime is 102112021210229. The reversal of 102112021210200 is 2012120211201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102112021210200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 38345406 + ... + 40921805.

It is an arithmetic number, because the mean of its divisors is an integer number (1750814545050).

Almost surely, 2^{102112021210200} is an apocalyptic number.

102112021210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112021210200 is an abundant number, since it is smaller than the sum of its proper divisors (234044371439400).

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

102112021210200 is a wasteful number, since it uses less digits than its factorization.

102112021210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79267362 (or 79267353 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102112021210200 its reverse (2012120211201), we get a palindrome (104124141421401).

The spelling of 102112021210200 in words is "one hundred two trillion, one hundred twelve billion, twenty-one million, two hundred ten thousand, two hundred".