202321310100100 has 36 divisors (see below), whose sum is σ = 464862963092724. Its totient is φ = 76168022625280.

The previous prime is 202321310099927. The next prime is 202321310100101. The reversal of 202321310100100 is 1001013123202.

It can be written as a sum of positive squares in 6 ways, for example, as 18967557990976 + 183353752109124 = 4355176^2 + 13540818^2 .

It is not an unprimeable number, because it can be changed into a prime (202321310100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59506265977 + ... + 59506269376.

It is an arithmetic number, because the mean of its divisors is an integer number (12912860085909).

Almost surely, 2^{202321310100100} is an apocalyptic number.

202321310100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202321310100100 is an abundant number, since it is smaller than the sum of its proper divisors (262541652992624).

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

202321310100100 is a wasteful number, since it uses less digits than its factorization.

202321310100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119012535384 (or 119012535377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 202321310100100 its reverse (1001013123202), we get a palindrome (203322323223302).

The spelling of 202321310100100 in words is "two hundred two trillion, three hundred twenty-one billion, three hundred ten million, one hundred thousand, one hundred".