102100002202013 has 2 divisors, whose sum is σ = 102100002202014. Its totient is φ = 102100002202012.

The previous prime is 102100002201997. The next prime is 102100002202021. The reversal of 102100002202013 is 310202200001201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65954571622564 + 36145430579449 = 8121242^2 + 6012107^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100002202013 - 2⁴ = 102100002201997 is a prime.

It is a super-2 number, since 2×102100002202013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100002201013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050001101006 + 51050001101007.

It is an arithmetic number, because the mean of its divisors is an integer number (51050001101007).

Almost surely, 2^{102100002202013} is an apocalyptic number.

It is an amenable number.

102100002202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100002202013 is an equidigital number, since it uses as much as digits as its factorization.

102100002202013 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 102100002202013 its reverse (310202200001201), we get a palindrome (412302202203214).

The spelling of 102100002202013 in words is "one hundred two trillion, one hundred billion, two million, two hundred two thousand, thirteen".