102314390892912 has 240 divisors, whose sum is σ = 341412729615360. Its totient is φ = 28239265843200.

The previous prime is 102314390892893. The next prime is 102314390892979. The reversal of 102314390892912 is 219298093413201.

It is a happy number.

102314390892912 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 439 + 0 + 8 + 92 + 91 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60448362 + ... + 62117897.

It is an arithmetic number, because the mean of its divisors is an integer number (1422553040064).

Almost surely, 2^{102314390892912} is an apocalyptic number.

102314390892912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102314390892912 is an abundant number, since it is smaller than the sum of its proper divisors (239098338722448).

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

102314390892912 is a wasteful number, since it uses less digits than its factorization.

102314390892912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122566332 (or 122566323 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 102314390892912 in words is "one hundred two trillion, three hundred fourteen billion, three hundred ninety million, eight hundred ninety-two thousand, nine hundred twelve".