102112133031 has 8 divisors (see below), whose sum is σ = 151277234160. Its totient is φ = 68074755336.

The previous prime is 102112133017. The next prime is 102112133033. The reversal of 102112133031 is 130331211201.

It is not a de Polignac number, because 102112133031 - 2¹¹ = 102112130983 is a prime.

It is a super-2 number, since 2×102112133031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112132995 and 102112133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112133033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890965400 + ... + 1890965453.

It is an arithmetic number, because the mean of its divisors is an integer number (18909654270).

Almost surely, 2^102112133031 is an apocalyptic number.

102112133031 is a deficient number, since it is larger than the sum of its proper divisors (49165101129).

102112133031 is an equidigital number, since it uses as much as digits as its factorization.

102112133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781930862 (or 3781930856 counting only the distinct ones).

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

Adding to 102112133031 its reverse (130331211201), we get a palindrome (232443344232).

The spelling of 102112133031 in words is "one hundred two billion, one hundred twelve million, one hundred thirty-three thousand, thirty-one".