202122100100 has 36 divisors (see below), whose sum is σ = 464405252724. Its totient is φ = 76093025280.

The previous prime is 202122100097. The next prime is 202122100171. The reversal of 202122100100 is 1001221202.

It is a happy number.

202122100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9718805056 + 192403295044 = 98584^2 + 438638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59445977 + ... + 59449376.

It is an arithmetic number, because the mean of its divisors is an integer number (12900145909).

Almost surely, 2^202122100100 is an apocalyptic number.

202122100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122100100 is an abundant number, since it is smaller than the sum of its proper divisors (262283152624).

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

202122100100 is a wasteful number, since it uses less digits than its factorization.

202122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118895384 (or 118895377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202122100100 its reverse (1001221202), we get a palindrome (203123321302).

The spelling of 202122100100 in words is "two hundred two billion, one hundred twenty-two million, one hundred thousand, one hundred".