121362565065601 has 2 divisors, whose sum is σ = 121362565065602. Its totient is φ = 121362565065600.

The previous prime is 121362565065527. The next prime is 121362565065691. The reversal of 121362565065601 is 106560565263121.

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., 102111004790001 + 19251560275600 = 10104999^2 + 4387660^2 .

It is a cyclic number.

It is not a de Polignac number, because 121362565065601 - 2²⁹ = 121362028194689 is a prime.

It is not a weakly prime, because it can be changed into another prime (121362565065691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60681282532800 + 60681282532801.

It is an arithmetic number, because the mean of its divisors is an integer number (60681282532801).

Almost surely, 2^{121362565065601} is an apocalyptic number.

It is an amenable number.

121362565065601 is a deficient number, since it is larger than the sum of its proper divisors (1).

121362565065601 is an equidigital number, since it uses as much as digits as its factorization.

121362565065601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 121362565065601 in words is "one hundred twenty-one trillion, three hundred sixty-two billion, five hundred sixty-five million, sixty-five thousand, six hundred one".