202022000010000 has 300 divisors, whose sum is σ = 729290451352320. Its totient is φ = 52134708960000.

The previous prime is 202022000009993. The next prime is 202022000010013. The reversal of 202022000010000 is 10000220202.

202022000010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 59 ways as a sum of consecutive naturals, for example, 33414660 + ... + 38994659.

Almost surely, 2^{202022000010000} is an apocalyptic number.

202022000010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022000010000 is an abundant number, since it is smaller than the sum of its proper divisors (527268451342320).

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

202022000010000 is a wasteful number, since it uses less digits than its factorization.

202022000010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72409384 (or 72409360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202022000010000 its reverse (10000220202), we get a palindrome (202032000230202).

The spelling of 202022000010000 in words is "two hundred two trillion, twenty-two billion, ten thousand".