100022020120013 has 2 divisors, whose sum is σ = 100022020120014. Its totient is φ = 100022020120012.

The previous prime is 100022020120007. The next prime is 100022020120079. The reversal of 100022020120013 is 310021020220001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100018440850084 + 3579269929 = 10000922^2 + 59827^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022020120013 - 2¹⁰ = 100022020118989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100022020120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022020120513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011010060006 + 50011010060007.

It is an arithmetic number, because the mean of its divisors is an integer number (50011010060007).

Almost surely, 2^{100022020120013} is an apocalyptic number.

It is an amenable number.

100022020120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022020120013 is an equidigital number, since it uses as much as digits as its factorization.

100022020120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100022020120013 its reverse (310021020220001), we get a palindrome (410043040340014).

The spelling of 100022020120013 in words is "one hundred trillion, twenty-two billion, twenty million, one hundred twenty thousand, thirteen".