122111120010133 has 2 divisors, whose sum is σ = 122111120010134. Its totient is φ = 122111120010132.

The previous prime is 122111120010043. The next prime is 122111120010163. The reversal of 122111120010133 is 331010021111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121190639030244 + 920480979889 = 11008662^2 + 959417^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111120010133 - 2¹⁷ = 122111119879061 is a prime.

It is a super-2 number, since 2×122111120010133² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122111120010133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111120010163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055560005066 + 61055560005067.

It is an arithmetic number, because the mean of its divisors is an integer number (61055560005067).

Almost surely, 2^{122111120010133} is an apocalyptic number.

It is an amenable number.

122111120010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111120010133 is an equidigital number, since it uses as much as digits as its factorization.

122111120010133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 122111120010133 its reverse (331010021111221), we get a palindrome (453121141121354).

The spelling of 122111120010133 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty million, ten thousand, one hundred thirty-three".