100021009858013 has 2 divisors, whose sum is σ = 100021009858014. Its totient is φ = 100021009858012.

The previous prime is 100021009857871. The next prime is 100021009858067. The reversal of 100021009858013 is 310858900120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89924007911929 + 10097001946084 = 9482827^2 + 3177578^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021009858013 - 2¹² = 100021009853917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100021009858073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010504929006 + 50010504929007.

It is an arithmetic number, because the mean of its divisors is an integer number (50010504929007).

Almost surely, 2^{100021009858013} is an apocalyptic number.

It is an amenable number.

100021009858013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021009858013 is an equidigital number, since it uses as much as digits as its factorization.

100021009858013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 38.

Adding to 100021009858013 its reverse (310858900120001), we get a palindrome (410879909978014).

The spelling of 100021009858013 in words is "one hundred trillion, twenty-one billion, nine million, eight hundred fifty-eight thousand, thirteen".