122113113110011 has 2 divisors, whose sum is σ = 122113113110012. Its totient is φ = 122113113110010.

The previous prime is 122113113109969. The next prime is 122113113110029. The reversal of 122113113110011 is 110011311311221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122113113110011 - 2³⁵ = 122078753371643 is a prime.

It is a super-2 number, since 2×122113113110011² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122113113410011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056556555005 + 61056556555006.

It is an arithmetic number, because the mean of its divisors is an integer number (61056556555006).

Almost surely, 2^{122113113110011} is an apocalyptic number.

122113113110011 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113113110011 is an equidigital number, since it uses as much as digits as its factorization.

122113113110011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 122113113110011 its reverse (110011311311221), we get a palindrome (232124424421232).

The spelling of 122113113110011 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred thirteen million, one hundred ten thousand, eleven".