122311121013121 has 2 divisors, whose sum is σ = 122311121013122. Its totient is φ = 122311121013120.

The previous prime is 122311121013119. The next prime is 122311121013163. The reversal of 122311121013121 is 121310121113221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86715876882496 + 35595244130625 = 9312136^2 + 5966175^2 .

It is an emirp because it is prime and its reverse (121310121113221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122311121013121 - 2¹ = 122311121013119 is a prime.

Together with 122311121013119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 122311121013092 and 122311121013101.

It is not a weakly prime, because it can be changed into another prime (122311121017121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155560506560 + 61155560506561.

It is an arithmetic number, because the mean of its divisors is an integer number (61155560506561).

Almost surely, 2^{122311121013121} is an apocalyptic number.

It is an amenable number.

122311121013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311121013121 is an equidigital number, since it uses as much as digits as its factorization.

122311121013121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 122311121013121 its reverse (121310121113221), we get a palindrome (243621242126342).

The spelling of 122311121013121 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred twenty-one million, thirteen thousand, one hundred twenty-one".