102331125200 has 60 divisors (see below), whose sum is σ = 245892972780. Its totient is φ = 40925383680.

The previous prime is 102331125179. The next prime is 102331125217. The reversal of 102331125200 is 2521133201.

It can be written as a sum of positive squares in 6 ways, for example, as 23345395264 + 78985729936 = 152792^2 + 281044^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2724146 + ... + 2761454.

It is an arithmetic number, because the mean of its divisors is an integer number (4098216213).

Almost surely, 2^102331125200 is an apocalyptic number.

102331125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102331125200 is an abundant number, since it is smaller than the sum of its proper divisors (143561847580).

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

102331125200 is a wasteful number, since it uses less digits than its factorization.

102331125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44184 (or 44173 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 102331125200 its reverse (2521133201), we get a palindrome (104852258401).

The spelling of 102331125200 in words is "one hundred two billion, three hundred thirty-one million, one hundred twenty-five thousand, two hundred".