102111021313000 has 256 divisors, whose sum is σ = 274393267200000. Its totient is φ = 34840551916800.

The previous prime is 102111021312967. The next prime is 102111021313031. The reversal of 102111021313000 is 313120111201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2708568151 + ... + 2708605849.

It is an arithmetic number, because the mean of its divisors is an integer number (1071848700000).

Almost surely, 2^{102111021313000} is an apocalyptic number.

102111021313000 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 102111021313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137196633600000).

102111021313000 is an abundant number, since it is smaller than the sum of its proper divisors (172282245887000).

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

102111021313000 is a wasteful number, since it uses less digits than its factorization.

102111021313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39585 (or 39571 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102111021313000 its reverse (313120111201), we get a palindrome (102424141424201).

The spelling of 102111021313000 in words is "one hundred two trillion, one hundred eleven billion, twenty-one million, three hundred thirteen thousand".