102133000112 has 160 divisors (see below), whose sum is σ = 249833009664. Its totient is φ = 39729254400.

The previous prime is 102133000063. The next prime is 102133000127. The reversal of 102133000112 is 211000331201.

It is a super-2 number, since 2×102133000112² (a number of 23 digits) contains 22 as substring.

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, 2586437 + ... + 2625627.

Almost surely, 2^102133000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124916504832).

102133000112 is an abundant number, since it is smaller than the sum of its proper divisors (147700009552).

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

102133000112 is a wasteful number, since it uses less digits than its factorization.

102133000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39307 (or 39301 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102133000112 its reverse (211000331201), we get a palindrome (313133331313).

The spelling of 102133000112 in words is "one hundred two billion, one hundred thirty-three million, one hundred twelve", and thus it is an aban number.