122102123330017 has 2 divisors, whose sum is σ = 122102123330018. Its totient is φ = 122102123330016.

The previous prime is 122102123329919. The next prime is 122102123330021. The reversal of 122102123330017 is 710033321201221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121128426058896 + 973697271121 = 11005836^2 + 986761^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102123330017 - 2²³ = 122102114941409 is a prime.

It is a super-2 number, since 2×122102123330017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122102123330417) 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, 61051061665008 + 61051061665009.

It is an arithmetic number, because the mean of its divisors is an integer number (61051061665009).

Almost surely, 2^{122102123330017} is an apocalyptic number.

It is an amenable number.

122102123330017 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102123330017 is an equidigital number, since it uses as much as digits as its factorization.

122102123330017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 122102123330017 its reverse (710033321201221), we get a palindrome (832135444531238).

The spelling of 122102123330017 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-three million, three hundred thirty thousand, seventeen".