202200010020000 has 600 divisors, whose sum is σ = 743243066876772. Its totient is φ = 53909107200000.

The previous prime is 202200010019993. The next prime is 202200010020011. The reversal of 202200010020000 is 20010002202.

It can be written as a sum of positive squares in 10 ways, for example, as 31753720881936 + 170446289138064 = 5635044^2 + 13055508^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 10952810770 + ... + 10952829230.

Almost surely, 2^{202200010020000} is an apocalyptic number.

202200010020000 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 202200010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371621533438386).

202200010020000 is an abundant number, since it is smaller than the sum of its proper divisors (541043056856772).

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

202200010020000 is an equidigital number, since it uses as much as digits as its factorization.

202200010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25264 (or 25232 counting only the distinct ones).

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

Adding to 202200010020000 its reverse (20010002202), we get a palindrome (202220020022202).

The spelling of 202200010020000 in words is "two hundred two trillion, two hundred billion, ten million, twenty thousand".