102320131200 has 768 divisors, whose sum is σ = 396793056000. Its totient is φ = 22693478400.

The previous prime is 102320131181. The next prime is 102320131229. The reversal of 102320131200 is 2131023201.

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 102320131200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446812686 + ... + 446812914.

It is an arithmetic number, because the mean of its divisors is an integer number (516657625).

Almost surely, 2^102320131200 is an apocalyptic number.

102320131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198396528000).

102320131200 is an abundant number, since it is smaller than the sum of its proper divisors (294472924800).

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

102320131200 is a wasteful number, since it uses less digits than its factorization.

102320131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102320131200 its reverse (2131023201), we get a palindrome (104451154401).

The spelling of 102320131200 in words is "one hundred two billion, three hundred twenty million, one hundred thirty-one thousand, two hundred".