102113100332320 has 192 divisors, whose sum is σ = 303870215529216. Its totient is φ = 31499341332480.

The previous prime is 102113100332311. The next prime is 102113100332363. The reversal of 102113100332320 is 23233001311201.

It is a super-3 number, since 3×102113100332320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102113100332291 and 102113100332300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41528677 + ... + 43918756.

It is an arithmetic number, because the mean of its divisors is an integer number (1582657372548).

Almost surely, 2^{102113100332320} is an apocalyptic number.

102113100332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102113100332320 is an abundant number, since it is smaller than the sum of its proper divisors (201757115196896).

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

102113100332320 is a wasteful number, since it uses less digits than its factorization.

102113100332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85447563 (or 85447555 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102113100332320 its reverse (23233001311201), we get a palindrome (125346101643521).

The spelling of 102113100332320 in words is "one hundred two trillion, one hundred thirteen billion, one hundred million, three hundred thirty-two thousand, three hundred twenty".