22121100013 has 2 divisors, whose sum is σ = 22121100014. Its totient is φ = 22121100012.

The previous prime is 22121099989. The next prime is 22121100031. The reversal of 22121100013 is 31000112122.

Together with next prime (22121100031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22063537444 + 57562569 = 148538^2 + 7587^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121100013 - 2⁵ = 22121099981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22121099966 and 22121100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121100413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060550006 + 11060550007.

It is an arithmetic number, because the mean of its divisors is an integer number (11060550007).

Almost surely, 2^22121100013 is an apocalyptic number.

It is an amenable number.

22121100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121100013 is an equidigital number, since it uses as much as digits as its factorization.

22121100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 22121100013 its reverse (31000112122), we get a palindrome (53121212135).

The spelling of 22121100013 in words is "twenty-two billion, one hundred twenty-one million, one hundred thousand, thirteen".