102032013020 has 72 divisors (see below), whose sum is σ = 249489752400. Its totient is φ = 34948704000.

The previous prime is 102032013019. The next prime is 102032013037. The reversal of 102032013020 is 20310230201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102032012986 and 102032013004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978395 + ... + 1077645.

It is an arithmetic number, because the mean of its divisors is an integer number (3465135450).

Almost surely, 2^102032013020 is an apocalyptic number.

102032013020 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 102032013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124744876200).

102032013020 is an abundant number, since it is smaller than the sum of its proper divisors (147457739380).

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

102032013020 is a wasteful number, since it uses less digits than its factorization.

102032013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100323 (or 100314 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102032013020 its reverse (20310230201), we get a palindrome (122342243221).

The spelling of 102032013020 in words is "one hundred two billion, thirty-two million, thirteen thousand, twenty".