102311122113112 has 128 divisors (see below), whose sum is σ = 210316861440000. Its totient is φ = 46273727485440.

The previous prime is 102311122113097. The next prime is 102311122113127. The reversal of 102311122113112 is 211311221113201.

102311122113112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102311122113097) and next prime (102311122113127).

It is a super-2 number, since 2×102311122113112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42933747073 + ... + 42933749455.

It is an arithmetic number, because the mean of its divisors is an integer number (1643100480000).

Almost surely, 2^{102311122113112} is an apocalyptic number.

It is an amenable number.

102311122113112 is an abundant number, since it is smaller than the sum of its proper divisors (108005739326888).

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

102311122113112 is a wasteful number, since it uses less digits than its factorization.

102311122113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 102311122113112 its reverse (211311221113201), we get a palindrome (313622343226313).

The spelling of 102311122113112 in words is "one hundred two trillion, three hundred eleven billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred twelve".