102131112111 has 32 divisors (see below), whose sum is σ = 157859993088. Its totient is φ = 57528576000.

The previous prime is 102131112067. The next prime is 102131112133. The reversal of 102131112111 is 111211131201.

It is not a de Polignac number, because 102131112111 - 2¹⁰ = 102131111087 is a prime.

It is a super-2 number, since 2×102131112111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131112191) 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, 411411 + ... + 611163.

It is an arithmetic number, because the mean of its divisors is an integer number (4933124784).

Almost surely, 2^102131112111 is an apocalyptic number.

102131112111 is a deficient number, since it is larger than the sum of its proper divisors (55728880977).

102131112111 is a wasteful number, since it uses less digits than its factorization.

102131112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200111.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 102131112111 its reverse (111211131201), we get a palindrome (213342243312).

The spelling of 102131112111 in words is "one hundred two billion, one hundred thirty-one million, one hundred twelve thousand, one hundred eleven".