102233320131200 has 192 divisors, whose sum is σ = 267452135505720. Its totient is φ = 38480914022400.

The previous prime is 102233320131193. The next prime is 102233320131247. The reversal of 102233320131200 is 2131023332201.

It can be written as a sum of positive squares in 12 ways, for example, as 52912589002816 + 49320731128384 = 7274104^2 + 7022872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307356980 + ... + 307689420.

Almost surely, 2^{102233320131200} is an apocalyptic number.

102233320131200 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 102233320131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133726067752860).

102233320131200 is an abundant number, since it is smaller than the sum of its proper divisors (165218815374520).

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

102233320131200 is a wasteful number, since it uses less digits than its factorization.

102233320131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338135 (or 338118 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 102233320131200 its reverse (2131023332201), we get a palindrome (104364343463401).

The spelling of 102233320131200 in words is "one hundred two trillion, two hundred thirty-three billion, three hundred twenty million, one hundred thirty-one thousand, two hundred".