102131120 has 80 divisors (see below), whose sum is σ = 292272960. Its totient is φ = 32320512.

The previous prime is 102131119. The next prime is 102131131. The reversal of 102131120 is 21131201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266 + ... + 14294.

It is an arithmetic number, because the mean of its divisors is an integer number (3653412).

Almost surely, 2^102131120 is an apocalyptic number.

102131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146136480).

102131120 is an abundant number, since it is smaller than the sum of its proper divisors (190141840).

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

102131120 is a wasteful number, since it uses less digits than its factorization.

102131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14062 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102131120 is about 10105.9942608335. The cubic root of 102131120 is about 467.4329948675.

Adding to 102131120 its reverse (21131201), we get a palindrome (123262321).

The spelling of 102131120 in words is "one hundred two million, one hundred thirty-one thousand, one hundred twenty".