102312133312200 has 192 divisors, whose sum is σ = 363993917184000. Its totient is φ = 23287782416640.

The previous prime is 102312133312099. The next prime is 102312133312211. The reversal of 102312133312200 is 2213331213201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 49958610 + ... + 51966209.

It is an arithmetic number, because the mean of its divisors is an integer number (1895801652000).

Almost surely, 2^{102312133312200} is an apocalyptic number.

102312133312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102312133312200 is an abundant number, since it is smaller than the sum of its proper divisors (261681783871800).

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

102312133312200 is a wasteful number, since it uses less digits than its factorization.

102312133312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101925084 (or 101925075 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102312133312200 its reverse (2213331213201), we get a palindrome (104525464525401).

The spelling of 102312133312200 in words is "one hundred two trillion, three hundred twelve billion, one hundred thirty-three million, three hundred twelve thousand, two hundred".