102120210112020 has 96 divisors (see below), whose sum is σ = 302759068768128. Its totient is φ = 25629943406592.

The previous prime is 102120210112001. The next prime is 102120210112033. The reversal of 102120210112020 is 20211012021201.

It is a super-2 number, since 2×102120210112020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135096439 + ... + 135850241.

It is an arithmetic number, because the mean of its divisors is an integer number (3153740299668).

Almost surely, 2^{102120210112020} is an apocalyptic number.

102120210112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120210112020 is an abundant number, since it is smaller than the sum of its proper divisors (200638858656108).

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

102120210112020 is a wasteful number, since it uses less digits than its factorization.

102120210112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886649 (or 886647 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102120210112020 its reverse (20211012021201), we get a palindrome (122331222133221).

The spelling of 102120210112020 in words is "one hundred two trillion, one hundred twenty billion, two hundred ten million, one hundred twelve thousand, twenty".