102000102020112 has 80 divisors (see below), whose sum is σ = 265844150510400. Its totient is φ = 33698586969600.

The previous prime is 102000102020093. The next prime is 102000102020263. The reversal of 102000102020112 is 211020201000201.

It is a super-2 number, since 2×102000102020112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12171214 + ... + 18765357.

It is an arithmetic number, because the mean of its divisors is an integer number (3323051881380).

Almost surely, 2^{102000102020112} is an apocalyptic number.

102000102020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000102020112 is an abundant number, since it is smaller than the sum of its proper divisors (163844048490288).

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

102000102020112 is a wasteful number, since it uses less digits than its factorization.

102000102020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30937192 (or 30937186 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102000102020112 its reverse (211020201000201), we get a palindrome (313020303020313).

The spelling of 102000102020112 in words is "one hundred two trillion, one hundred two million, twenty thousand, one hundred twelve".