22101102113 has 2 divisors, whose sum is σ = 22101102114. Its totient is φ = 22101102112.

The previous prime is 22101102097. The next prime is 22101102151. The reversal of 22101102113 is 31120110122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13572949009 + 8528153104 = 116503^2 + 92348^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101102113 - 2⁴ = 22101102097 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050551056 + 11050551057.

It is an arithmetic number, because the mean of its divisors is an integer number (11050551057).

Almost surely, 2^22101102113 is an apocalyptic number.

It is an amenable number.

22101102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101102113 is an equidigital number, since it uses as much as digits as its factorization.

22101102113 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 14.

Adding to 22101102113 its reverse (31120110122), we get a palindrome (53221212235).

The spelling of 22101102113 in words is "twenty-two billion, one hundred one million, one hundred two thousand, one hundred thirteen".