102112133101020 has 72 divisors (see below), whose sum is σ = 353988728087904. Its totient is φ = 23339916137088.

The previous prime is 102112133101019. The next prime is 102112133101129. The reversal of 102112133101020 is 20101331211201.

102112133101020 is a `hidden beast` number, since 1 + 0 + 211 + 21 + 331 + 0 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102112133100984 and 102112133101002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40520686479 + ... + 40520688998.

It is an arithmetic number, because the mean of its divisors is an integer number (4916510112332).

Almost surely, 2^{102112133101020} is an apocalyptic number.

102112133101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112133101020 is an abundant number, since it is smaller than the sum of its proper divisors (251876594986884).

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

102112133101020 is a wasteful number, since it uses less digits than its factorization.

102112133101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81041375499 (or 81041375494 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102112133101020 its reverse (20101331211201), we get a palindrome (122213464312221).

The spelling of 102112133101020 in words is "one hundred two trillion, one hundred twelve billion, one hundred thirty-three million, one hundred one thousand, twenty".