100021020013 has 2 divisors, whose sum is σ = 100021020014. Its totient is φ = 100021020012.

The previous prime is 100021019963. The next prime is 100021020041. The reversal of 100021020013 is 310020120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86319615204 + 13701404809 = 293802^2 + 117053^2 .

It is an emirp because it is prime and its reverse (310020120001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100021020013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100021020053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010510006 + 50010510007.

It is an arithmetic number, because the mean of its divisors is an integer number (50010510007).

Almost surely, 2^100021020013 is an apocalyptic number.

It is an amenable number.

100021020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021020013 is an equidigital number, since it uses as much as digits as its factorization.

100021020013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100021020013 its reverse (310020120001), we get a palindrome (410041140014).

The spelling of 100021020013 in words is "one hundred billion, twenty-one million, twenty thousand, thirteen".