102033113000112 has 240 divisors, whose sum is σ = 348062913387072. Its totient is φ = 27237201592320.

The previous prime is 102033113000107. The next prime is 102033113000113. The reversal of 102033113000112 is 211000311330201.

102033113000112 is a `hidden beast` number, since 1 + 0 + 20 + 331 + 1 + 300 + 0 + 1 + 12 = 666.

It is a super-2 number, since 2×102033113000112² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102033113000113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19383439 + ... + 24078702.

Almost surely, 2^{102033113000112} is an apocalyptic number.

102033113000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102033113000112 is an abundant number, since it is smaller than the sum of its proper divisors (246029800386960).

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

102033113000112 is a wasteful number, since it uses less digits than its factorization.

102033113000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43462316 (or 43462307 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102033113000112 its reverse (211000311330201), we get a palindrome (313033424330313).

The spelling of 102033113000112 in words is "one hundred two trillion, thirty-three billion, one hundred thirteen million, one hundred twelve", and thus it is an aban number.