102131112 has 32 divisors (see below), whose sum is σ = 263566080. Its totient is φ = 32945280.

The previous prime is 102131111. The next prime is 102131119. The reversal of 102131112 is 211131201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102131111) 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, 67893 + ... + 69380.

It is an arithmetic number, because the mean of its divisors is an integer number (8236440).

Almost surely, 2^102131112 is an apocalyptic number.

102131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102131112 is an abundant number, since it is smaller than the sum of its proper divisors (161434968).

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

102131112 is a wasteful number, since it uses less digits than its factorization.

102131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137313 (or 137309 counting only the distinct ones).

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

The square root of 102131112 is about 10105.9938650288. The cubic root of 102131112 is about 467.4329826627.

Adding to 102131112 its reverse (211131201), we get a palindrome (313262313).

It can be divided in two parts, 10213 and 1112, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 102131112 in words is "one hundred two million, one hundred thirty-one thousand, one hundred twelve".