102112112091 has 32 divisors (see below), whose sum is σ = 157280256000. Its totient is φ = 58277832480.

The previous prime is 102112112033. The next prime is 102112112153. The reversal of 102112112091 is 190211211201.

It is not a de Polignac number, because 102112112091 - 2⁹ = 102112111579 is a prime.

It is a super-3 number, since 3×102112112091³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102112112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382891 + ... + 592308.

It is an arithmetic number, because the mean of its divisors is an integer number (4915008000).

Almost surely, 2^102112112091 is an apocalyptic number.

102112112091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102112112091 is a deficient number, since it is larger than the sum of its proper divisors (55168143909).

102112112091 is a wasteful number, since it uses less digits than its factorization.

102112112091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975399.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 102112112091 its reverse (190211211201), we get a palindrome (292323323292).

The spelling of 102112112091 in words is "one hundred two billion, one hundred twelve million, one hundred twelve thousand, ninety-one".