102000220112020 has 144 divisors (see below), whose sum is σ = 228633806681280. Its totient is φ = 38200216707072.

The previous prime is 102000220111997. The next prime is 102000220112041. The reversal of 102000220112020 is 20211022000201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100025844 + ... + 101040436.

It is an arithmetic number, because the mean of its divisors is an integer number (1587734768620).

Almost surely, 2^{102000220112020} is an apocalyptic number.

102000220112020 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 102000220112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114316903340640).

102000220112020 is an abundant number, since it is smaller than the sum of its proper divisors (126633586569260).

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

102000220112020 is a wasteful number, since it uses less digits than its factorization.

102000220112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014842 (or 1014811 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102000220112020 its reverse (20211022000201), we get a palindrome (122211242112221).

The spelling of 102000220112020 in words is "one hundred two trillion, two hundred twenty million, one hundred twelve thousand, twenty".