102113023002000 has 160 divisors (see below), whose sum is σ = 329298618789504. Its totient is φ = 27223006912000.

The previous prime is 102113023001987. The next prime is 102113023002031. The reversal of 102113023002000 is 200320311201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20698987 + ... + 25153013.

Almost surely, 2^{102113023002000} is an apocalyptic number.

102113023002000 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 102113023002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164649309394752).

102113023002000 is an abundant number, since it is smaller than the sum of its proper divisors (227185595787504).

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

102113023002000 is a wasteful number, since it uses less digits than its factorization.

102113023002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457874 (or 4457858 counting only the distinct ones).

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

Adding to 102113023002000 its reverse (200320311201), we get a palindrome (102313343313201).

The spelling of 102113023002000 in words is "one hundred two trillion, one hundred thirteen billion, twenty-three million, two thousand".