121000008112961 has 2 divisors, whose sum is σ = 121000008112962. Its totient is φ = 121000008112960.

The previous prime is 121000008112931. The next prime is 121000008113041. The reversal of 121000008112961 is 169211800000121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99894427878400 + 21105580234561 = 9994720^2 + 4594081^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121000008112961 is a prime.

It is not a weakly prime, because it can be changed into another prime (121000008112931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60500004056480 + 60500004056481.

It is an arithmetic number, because the mean of its divisors is an integer number (60500004056481).

Almost surely, 2^{121000008112961} is an apocalyptic number.

It is an amenable number.

121000008112961 is a deficient number, since it is larger than the sum of its proper divisors (1).

121000008112961 is an equidigital number, since it uses as much as digits as its factorization.

121000008112961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 32.

The spelling of 121000008112961 in words is "one hundred twenty-one trillion, eight million, one hundred twelve thousand, nine hundred sixty-one".