11122103112137 has 2 divisors, whose sum is σ = 11122103112138. Its totient is φ = 11122103112136.

The previous prime is 11122103112103. The next prime is 11122103112143. The reversal of 11122103112137 is 73121130122111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11122084930441 + 18181696 = 3334979^2 + 4264^2 .

It is a cyclic number.

It is not a de Polignac number, because 11122103112137 - 2¹⁰ = 11122103111113 is a prime.

It is not a weakly prime, because it can be changed into another prime (11122103112037) 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, 5561051556068 + 5561051556069.

It is an arithmetic number, because the mean of its divisors is an integer number (5561051556069).

Almost surely, 2^{11122103112137} is an apocalyptic number.

It is an amenable number.

11122103112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122103112137 is an equidigital number, since it uses as much as digits as its factorization.

11122103112137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 11122103112137 its reverse (73121130122111), we get a palindrome (84243233234248).

The spelling of 11122103112137 in words is "eleven trillion, one hundred twenty-two billion, one hundred three million, one hundred twelve thousand, one hundred thirty-seven".