22122220022113 has 2 divisors, whose sum is σ = 22122220022114. Its totient is φ = 22122220022112.

The previous prime is 22122220022099. The next prime is 22122220022171. The reversal of 22122220022113 is 31122002222122.

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., 21742151471104 + 380068551009 = 4662848^2 + 616497^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122220022113 - 2¹³ = 22122220013921 is a prime.

It is not a weakly prime, because it can be changed into another prime (22122220022173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061110011056 + 11061110011057.

It is an arithmetic number, because the mean of its divisors is an integer number (11061110011057).

Almost surely, 2^{22122220022113} is an apocalyptic number.

It is an amenable number.

22122220022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122220022113 is an equidigital number, since it uses as much as digits as its factorization.

22122220022113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22122220022113 its reverse (31122002222122), we get a palindrome (53244222244235).

The spelling of 22122220022113 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, twenty-two thousand, one hundred thirteen".