116122516117121 has 2 divisors, whose sum is σ = 116122516117122. Its totient is φ = 116122516117120.

The previous prime is 116122516117109. The next prime is 116122516117123. The reversal of 116122516117121 is 121711615221611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99858749914225 + 16263766202896 = 9992935^2 + 4032836^2 .

It is a cyclic number.

It is not a de Polignac number, because 116122516117121 - 2⁶ = 116122516117057 is a prime.

Together with 116122516117123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (116122516117123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58061258058560 + 58061258058561.

It is an arithmetic number, because the mean of its divisors is an integer number (58061258058561).

Almost surely, 2^{116122516117121} is an apocalyptic number.

It is an amenable number.

116122516117121 is a deficient number, since it is larger than the sum of its proper divisors (1).

116122516117121 is an equidigital number, since it uses as much as digits as its factorization.

116122516117121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 38.

The spelling of 116122516117121 in words is "one hundred sixteen trillion, one hundred twenty-two billion, five hundred sixteen million, one hundred seventeen thousand, one hundred twenty-one".