22121012110013 has 2 divisors, whose sum is σ = 22121012110014. Its totient is φ = 22121012110012.

The previous prime is 22121012110003. The next prime is 22121012110049. The reversal of 22121012110013 is 31001121012122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21996503341849 + 124508768164 = 4690043^2 + 352858^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121012110013 - 2⁶ = 22121012109949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22121012109973 and 22121012110000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121012110003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060506055006 + 11060506055007.

It is an arithmetic number, because the mean of its divisors is an integer number (11060506055007).

Almost surely, 2^{22121012110013} is an apocalyptic number.

It is an amenable number.

22121012110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121012110013 is an equidigital number, since it uses as much as digits as its factorization.

22121012110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 22121012110013 its reverse (31001121012122), we get a palindrome (53122133122135).

The spelling of 22121012110013 in words is "twenty-two trillion, one hundred twenty-one billion, twelve million, one hundred ten thousand, thirteen".