102000312010100 has 72 divisors (see below), whose sum is σ = 252963611459328. Its totient is φ = 34971143241600.

The previous prime is 102000312010099. The next prime is 102000312010117. The reversal of 102000312010100 is 1010213000201.

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 23 ways as a sum of consecutive naturals, for example, 65464709 + ... + 67004691.

Almost surely, 2^{102000312010100} is an apocalyptic number.

102000312010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000312010100 is an abundant number, since it is smaller than the sum of its proper divisors (150963299449228).

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

102000312010100 is a wasteful number, since it uses less digits than its factorization.

102000312010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634625 (or 1634618 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102000312010100 its reverse (1010213000201), we get a palindrome (103010525010301).

The spelling of 102000312010100 in words is "one hundred two trillion, three hundred twelve million, ten thousand, one hundred".