122112011017 has 2 divisors, whose sum is σ = 122112011018. Its totient is φ = 122112011016.

The previous prime is 122112011003. The next prime is 122112011027. The reversal of 122112011017 is 710110211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122035640896 + 76370121 = 349336^2 + 8739^2 .

It is an emirp because it is prime and its reverse (710110211221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122112011017 - 2¹¹ = 122112008969 is a prime.

It is a super-2 number, since 2×122112011017² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112010985 and 122112011003.

It is not a weakly prime, because it can be changed into another prime (122112011027) 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, 61056005508 + 61056005509.

It is an arithmetic number, because the mean of its divisors is an integer number (61056005509).

Almost surely, 2^122112011017 is an apocalyptic number.

It is an amenable number.

122112011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112011017 is an equidigital number, since it uses as much as digits as its factorization.

122112011017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 122112011017 its reverse (710110211221), we get a palindrome (832222222238).

The spelling of 122112011017 in words is "one hundred twenty-two billion, one hundred twelve million, eleven thousand, seventeen".