122122021223117 has 2 divisors, whose sum is σ = 122122021223118. Its totient is φ = 122122021223116.

The previous prime is 122122021223039. The next prime is 122122021223119. The reversal of 122122021223117 is 711322120221221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75992034110281 + 46129987112836 = 8717341^2 + 6791906^2 .

It is an emirp because it is prime and its reverse (711322120221221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122122021223117 - 2¹⁶ = 122122021157581 is a prime.

Together with 122122021223119, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122122021223117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122021223119) 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, 61061010611558 + 61061010611559.

It is an arithmetic number, because the mean of its divisors is an integer number (61061010611559).

Almost surely, 2^{122122021223117} is an apocalyptic number.

It is an amenable number.

122122021223117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122021223117 is an equidigital number, since it uses as much as digits as its factorization.

122122021223117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 122122021223117 its reverse (711322120221221), we get a palindrome (833444141444338).

The spelling of 122122021223117 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-one million, two hundred twenty-three thousand, one hundred seventeen".