102010112120020 has 48 divisors (see below), whose sum is σ = 230733411068160. Its totient is φ = 37659783344256.

The previous prime is 102010112120003. The next prime is 102010112120027. The reversal of 102010112120020 is 20021211010201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010112120027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26799810 + ... + 30368569.

It is an arithmetic number, because the mean of its divisors is an integer number (4806946063920).

Almost surely, 2^{102010112120020} is an apocalyptic number.

102010112120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010112120020 is an abundant number, since it is smaller than the sum of its proper divisors (128723298948140).

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

102010112120020 is a wasteful number, since it uses less digits than its factorization.

102010112120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57175264 (or 57175262 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102010112120020 its reverse (20021211010201), we get a palindrome (122031323130221).

The spelling of 102010112120020 in words is "one hundred two trillion, ten billion, one hundred twelve million, one hundred twenty thousand, twenty".