102010212120013 has 2 divisors, whose sum is σ = 102010212120014. Its totient is φ = 102010212120012.

The previous prime is 102010212120007. The next prime is 102010212120023. The reversal of 102010212120013 is 310021212010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98317100588004 + 3693111532009 = 9915498^2 + 1921747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102010212120013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102010212120023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005106060006 + 51005106060007.

It is an arithmetic number, because the mean of its divisors is an integer number (51005106060007).

Almost surely, 2^{102010212120013} is an apocalyptic number.

It is an amenable number.

102010212120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010212120013 is an equidigital number, since it uses as much as digits as its factorization.

102010212120013 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 16.

Adding to 102010212120013 its reverse (310021212010201), we get a palindrome (412031424130214).

The spelling of 102010212120013 in words is "one hundred two trillion, ten billion, two hundred twelve million, one hundred twenty thousand, thirteen".