102211200021013 has 2 divisors, whose sum is σ = 102211200021014. Its totient is φ = 102211200021012.

The previous prime is 102211200020939. The next prime is 102211200021097. The reversal of 102211200021013 is 310120002112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102019231608849 + 191968412164 = 10100457^2 + 438142^2 .

It is an emirp because it is prime and its reverse (310120002112201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102211200021013 - 2¹⁷ = 102211199889941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102211200021113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105600010506 + 51105600010507.

It is an arithmetic number, because the mean of its divisors is an integer number (51105600010507).

Almost surely, 2^{102211200021013} is an apocalyptic number.

It is an amenable number.

102211200021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211200021013 is an equidigital number, since it uses as much as digits as its factorization.

102211200021013 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 102211200021013 its reverse (310120002112201), we get a palindrome (412331202133214).

The spelling of 102211200021013 in words is "one hundred two trillion, two hundred eleven billion, two hundred million, twenty-one thousand, thirteen".