122313144206161 has 2 divisors, whose sum is σ = 122313144206162. Its totient is φ = 122313144206160.

The previous prime is 122313144206159. The next prime is 122313144206189. The reversal of 122313144206161 is 161602441313221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82057672327761 + 40255471878400 = 9058569^2 + 6344720^2 .

It is a cyclic number.

It is not a de Polignac number, because 122313144206161 - 2¹ = 122313144206159 is a prime.

Together with 122313144206159, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 122313144206161.

It is not a weakly prime, because it can be changed into another prime (122313144206131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156572103080 + 61156572103081.

It is an arithmetic number, because the mean of its divisors is an integer number (61156572103081).

Almost surely, 2^{122313144206161} is an apocalyptic number.

It is an amenable number.

122313144206161 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313144206161 is an equidigital number, since it uses as much as digits as its factorization.

122313144206161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

Adding to 122313144206161 its reverse (161602441313221), we get a palindrome (283915585519382).

The spelling of 122313144206161 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred forty-four million, two hundred six thousand, one hundred sixty-one".