102112122000200 has 96 divisors (see below), whose sum is σ = 255692921558760. Its totient is φ = 37700006092800.

The previous prime is 102112122000179. The next prime is 102112122000263. The reversal of 102112122000200 is 2000221211201.

It can be written as a sum of positive squares in 12 ways, for example, as 766384688356 + 101345737311844 = 875434^2 + 10067062^2 .

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 23 ways as a sum of consecutive naturals, for example, 32063960 + ... + 35104440.

Almost surely, 2^{102112122000200} is an apocalyptic number.

102112122000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112122000200 is an abundant number, since it is smaller than the sum of its proper divisors (153580799558560).

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

102112122000200 is a wasteful number, since it uses less digits than its factorization.

102112122000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053427 (or 3053418 counting only the distinct ones).

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

Adding to 102112122000200 its reverse (2000221211201), we get a palindrome (104112343211401).

The spelling of 102112122000200 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred", and thus it is an aban number.