100001313200021 has 2 divisors, whose sum is σ = 100001313200022. Its totient is φ = 100001313200020.

The previous prime is 100001313199999. The next prime is 100001313200057. The reversal of 100001313200021 is 120002313100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89250324723121 + 10750988476900 = 9447239^2 + 3278870^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001313200021 - 2²⁶ = 100001246091157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100001313199969 and 100001313200005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001313206021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000656600010 + 50000656600011.

It is an arithmetic number, because the mean of its divisors is an integer number (50000656600011).

Almost surely, 2^{100001313200021} is an apocalyptic number.

It is an amenable number.

100001313200021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001313200021 is an equidigital number, since it uses as much as digits as its factorization.

100001313200021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100001313200021 its reverse (120002313100001), we get a palindrome (220003626300022).

The spelling of 100001313200021 in words is "one hundred trillion, one billion, three hundred thirteen million, two hundred thousand, twenty-one".