11022110102137 has 2 divisors, whose sum is σ = 11022110102138. Its totient is φ = 11022110102136.

The previous prime is 11022110102117. The next prime is 11022110102153. The reversal of 11022110102137 is 73120101122011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11015953502841 + 6156599296 = 3319029^2 + 78464^2 .

It is a cyclic number.

It is not a de Polignac number, because 11022110102137 - 2⁷ = 11022110102009 is a prime.

It is a super-2 number, since 2×11022110102137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11022110102117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5511055051068 + 5511055051069.

It is an arithmetic number, because the mean of its divisors is an integer number (5511055051069).

Almost surely, 2^{11022110102137} is an apocalyptic number.

It is an amenable number.

11022110102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11022110102137 is an equidigital number, since it uses as much as digits as its factorization.

11022110102137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 11022110102137 its reverse (73120101122011), we get a palindrome (84142211224148).

The spelling of 11022110102137 in words is "eleven trillion, twenty-two billion, one hundred ten million, one hundred two thousand, one hundred thirty-seven".