102120013032 has 64 divisors (see below), whose sum is σ = 274986624000. Its totient is φ = 31498455744.

The previous prime is 102120013003. The next prime is 102120013043. The reversal of 102120013032 is 230310021201.

102120013032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2584432 + ... + 2623647.

It is an arithmetic number, because the mean of its divisors is an integer number (4296666000).

Almost surely, 2^102120013032 is an apocalyptic number.

102120013032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120013032 is an abundant number, since it is smaller than the sum of its proper divisors (172866610968).

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

102120013032 is a wasteful number, since it uses less digits than its factorization.

102120013032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208150 (or 5208146 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102120013032 its reverse (230310021201), we get a palindrome (332430034233).

The spelling of 102120013032 in words is "one hundred two billion, one hundred twenty million, thirteen thousand, thirty-two".