102013232032120 has 128 divisors (see below), whose sum is σ = 247799498832000. Its totient is φ = 37680498042880.

The previous prime is 102013232032081. The next prime is 102013232032141. The reversal of 102013232032120 is 21230232310201.

It is a junction number, because it is equal to n+sod(n) for n = 102013232032091 and 102013232032100.

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, 215043990 + ... + 215517850.

It is an arithmetic number, because the mean of its divisors is an integer number (1935933584625).

Almost surely, 2^{102013232032120} is an apocalyptic number.

102013232032120 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 102013232032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123899749416000).

102013232032120 is an abundant number, since it is smaller than the sum of its proper divisors (145786266799880).

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

102013232032120 is a wasteful number, since it uses less digits than its factorization.

102013232032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481993 (or 481989 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102013232032120 its reverse (21230232310201), we get a palindrome (123243464342321).

The spelling of 102013232032120 in words is "one hundred two trillion, thirteen billion, two hundred thirty-two million, thirty-two thousand, one hundred twenty".