202221001020100 has 72 divisors (see below), whose sum is σ = 440609176582848. Its totient is φ = 80558966812800.

The previous prime is 202221001020013. The next prime is 202221001020107. The reversal of 202221001020100 is 1020100122202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202221001020107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33373822 + ... + 38964778.

It is an arithmetic number, because the mean of its divisors is an integer number (6119571896984).

Almost surely, 2^{202221001020100} is an apocalyptic number.

202221001020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221001020100 is an abundant number, since it is smaller than the sum of its proper divisors (238388175562748).

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

202221001020100 is a wasteful number, since it uses less digits than its factorization.

202221001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592445 (or 5592438 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202221001020100 its reverse (1020100122202), we get a palindrome (203241101142302).

The spelling of 202221001020100 in words is "two hundred two trillion, two hundred twenty-one billion, one million, twenty thousand, one hundred".