2122102222013 has 2 divisors, whose sum is σ = 2122102222014. Its totient is φ = 2122102222012.

The previous prime is 2122102221979. The next prime is 2122102222057. The reversal of 2122102222013 is 3102222012212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1625046201529 + 497056020484 = 1274773^2 + 705022^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122102222013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122102222073) 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, 1061051111006 + 1061051111007.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051111007).

Almost surely, 2^{2122102222013} is an apocalyptic number.

It is an amenable number.

2122102222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102222013 is an equidigital number, since it uses as much as digits as its factorization.

2122102222013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2122102222013 its reverse (3102222012212), we get a palindrome (5224324234225).

The spelling of 2122102222013 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-two thousand, thirteen".