202200020002000 has 160 divisors (see below), whose sum is σ = 489769100271360. Its totient is φ = 80739568166400.

The previous prime is 202200020001923. The next prime is 202200020002069. The reversal of 202200020002000 is 200020002202.

It is a Harshad number since it is a multiple of its sum of digits (10).

202200020002000 is a modest number, since divided by 20002000 gives 2022000 as remainder.

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, 4273282342 + ... + 4273329658.

It is an arithmetic number, because the mean of its divisors is an integer number (3061056876696).

Almost surely, 2^{202200020002000} is an apocalyptic number.

202200020002000 is a gapful number since it is divisible by the number (20) 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 202200020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244884550135680).

202200020002000 is an abundant number, since it is smaller than the sum of its proper divisors (287569080269360).

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

202200020002000 is a wasteful number, since it uses less digits than its factorization.

202200020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51006 (or 50990 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 202200020002000 its reverse (200020002202), we get a palindrome (202400040004202).

The spelling of 202200020002000 in words is "two hundred two trillion, two hundred billion, twenty million, two thousand".