121221202084817 has 2 divisors, whose sum is σ = 121221202084818. Its totient is φ = 121221202084816.

The previous prime is 121221202084709. The next prime is 121221202084859. The reversal of 121221202084817 is 718480202122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88080927900736 + 33140274184081 = 9385144^2 + 5756759^2 .

It is a cyclic number.

It is not a de Polignac number, because 121221202084817 - 2²⁴ = 121221185307601 is a prime.

It is not a weakly prime, because it can be changed into another prime (121221202084897) 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, 60610601042408 + 60610601042409.

It is an arithmetic number, because the mean of its divisors is an integer number (60610601042409).

Almost surely, 2^{121221202084817} is an apocalyptic number.

It is an amenable number.

121221202084817 is a deficient number, since it is larger than the sum of its proper divisors (1).

121221202084817 is an equidigital number, since it uses as much as digits as its factorization.

121221202084817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57344, while the sum is 41.

The spelling of 121221202084817 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, eighty-four thousand, eight hundred seventeen".