122102122249 has 2 divisors, whose sum is σ = 122102122250. Its totient is φ = 122102122248.

The previous prime is 122102122211. The next prime is 122102122267. The reversal of 122102122249 is 942221201221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117174082249 + 4928040000 = 342307^2 + 70200^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102122249 - 2¹⁷ = 122101991177 is a prime.

It is a super-3 number, since 3×122102122249³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122102126249) 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, 61051061124 + 61051061125.

It is an arithmetic number, because the mean of its divisors is an integer number (61051061125).

Almost surely, 2^122102122249 is an apocalyptic number.

It is an amenable number.

122102122249 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102122249 is an equidigital number, since it uses as much as digits as its factorization.

122102122249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 122102122249 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand, two hundred forty-nine".