122111130329 has 2 divisors, whose sum is σ = 122111130330. Its totient is φ = 122111130328.

The previous prime is 122111130313. The next prime is 122111130331. The reversal of 122111130329 is 923031111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86346647104 + 35764483225 = 293848^2 + 189115^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111130329 - 2⁴ = 122111130313 is a prime.

It is a super-2 number, since 2×122111130329² (a number of 23 digits) contains 22 as substring.

Together with 122111130331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122111130298 and 122111130307.

It is not a weakly prime, because it can be changed into another prime (122111130829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055565164 + 61055565165.

It is an arithmetic number, because the mean of its divisors is an integer number (61055565165).

Almost surely, 2^122111130329 is an apocalyptic number.

It is an amenable number.

122111130329 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111130329 is an equidigital number, since it uses as much as digits as its factorization.

122111130329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 122111130329 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred thirty thousand, three hundred twenty-nine".