121122309083761 has 2 divisors, whose sum is σ = 121122309083762. Its totient is φ = 121122309083760.

The previous prime is 121122309083759. The next prime is 121122309083837. The reversal of 121122309083761 is 167380903221121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83514814158736 + 37607494925025 = 9138644^2 + 6132495^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122309083761 - 2¹ = 121122309083759 is a prime.

It is a super-2 number, since 2×121122309083761² (a number of 29 digits) contains 22 as substring.

Together with 121122309083759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (121122309083161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561154541880 + 60561154541881.

It is an arithmetic number, because the mean of its divisors is an integer number (60561154541881).

Almost surely, 2^{121122309083761} is an apocalyptic number.

It is an amenable number.

121122309083761 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122309083761 is an equidigital number, since it uses as much as digits as its factorization.

121122309083761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 121122309083761 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, three hundred nine million, eighty-three thousand, seven hundred sixty-one".