102001020020000 has 60 divisors (see below), whose sum is σ = 250937809451406. Its totient is φ = 40800408000000.

The previous prime is 102001020019999. The next prime is 102001020020021. The reversal of 102001020020000 is 20020100201.

It can be written as a sum of positive squares in 5 ways, for example, as 8731859520784 + 93269160499216 = 2954972^2 + 9657596^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102001020020000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2550005501 + ... + 2550045500.

Almost surely, 2^{102001020020000} is an apocalyptic number.

102001020020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001020020000 is an abundant number, since it is smaller than the sum of its proper divisors (148936789431406).

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

102001020020000 is an frugal number, since it uses more digits than its factorization.

102001020020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100051031 (or 5100051008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102001020020000 its reverse (20020100201), we get a palindrome (102021040120201).

The spelling of 102001020020000 in words is "one hundred two trillion, one billion, twenty million, twenty thousand".