10011120122137 has 2 divisors, whose sum is σ = 10011120122138. Its totient is φ = 10011120122136.

The previous prime is 10011120122111. The next prime is 10011120122147. The reversal of 10011120122137 is 73122102111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9970002015961 + 41118106176 = 3157531^2 + 202776^2 .

It is an emirp because it is prime and its reverse (73122102111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011120122137 - 2²³ = 10011111733529 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011120122147) 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, 5005560061068 + 5005560061069.

It is an arithmetic number, because the mean of its divisors is an integer number (5005560061069).

Almost surely, 2^{10011120122137} is an apocalyptic number.

It is an amenable number.

10011120122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011120122137 is an equidigital number, since it uses as much as digits as its factorization.

10011120122137 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 10011120122137 its reverse (73122102111001), we get a palindrome (83133222233138).

The spelling of 10011120122137 in words is "ten trillion, eleven billion, one hundred twenty million, one hundred twenty-two thousand, one hundred thirty-seven".