202220001010000 has 100 divisors (see below), whose sum is σ = 490335548588644. Its totient is φ = 80765625600000.

The previous prime is 202220001009997. The next prime is 202220001010051. The reversal of 202220001010000 is 10100022202.

It can be written as a sum of positive squares in 10 ways, for example, as 92105787174976 + 110114213835024 = 9597176^2 + 10493532^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 8686521 + ... + 21906520.

Almost surely, 2^{202220001010000} is an apocalyptic number.

202220001010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220001010000 is an abundant number, since it is smaller than the sum of its proper divisors (288115547578644).

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

202220001010000 is an equidigital number, since it uses as much as digits as its factorization.

202220001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30593730 (or 30593709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202220001010000 its reverse (10100022202), we get a palindrome (202230101032202).

The spelling of 202220001010000 in words is "two hundred two trillion, two hundred twenty billion, one million, ten thousand".