102020211012020 has 96 divisors (see below), whose sum is σ = 259312833803520. Its totient is φ = 32913001359360.

The previous prime is 102020211011941. The next prime is 102020211012043. The reversal of 102020211012020 is 20210112020201.

102020211012020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102020211012020³ (a number of 43 digits) contains 333 as substring.

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 = 102020211011986 and 102020211012004.

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, 4961150 + ... + 15121290.

It is an arithmetic number, because the mean of its divisors is an integer number (2701175352120).

Almost surely, 2^{102020211012020} is an apocalyptic number.

102020211012020 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 102020211012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129656416901760).

102020211012020 is an abundant number, since it is smaller than the sum of its proper divisors (157292622791500).

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

102020211012020 is a wasteful number, since it uses less digits than its factorization.

102020211012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10164393 (or 10164391 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102020211012020 its reverse (20210112020201), we get a palindrome (122230323032221).

The spelling of 102020211012020 in words is "one hundred two trillion, twenty billion, two hundred eleven million, twelve thousand, twenty".