100220111020013 has 2 divisors, whose sum is σ = 100220111020014. Its totient is φ = 100220111020012.

The previous prime is 100220111019949. The next prime is 100220111020019. The reversal of 100220111020013 is 310020111022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65185810455529 + 35034300564484 = 8073773^2 + 5918978^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220111020013 - 2⁶ = 100220111019949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100220111020013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220111020019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110055510006 + 50110055510007.

It is an arithmetic number, because the mean of its divisors is an integer number (50110055510007).

Almost surely, 2^{100220111020013} is an apocalyptic number.

It is an amenable number.

100220111020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220111020013 is an equidigital number, since it uses as much as digits as its factorization.

100220111020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100220111020013 its reverse (310020111022001), we get a palindrome (410240222042014).

The spelling of 100220111020013 in words is "one hundred trillion, two hundred twenty billion, one hundred eleven million, twenty thousand, thirteen".