1121761610017 has 2 divisors, whose sum is σ = 1121761610018. Its totient is φ = 1121761610016.

The previous prime is 1121761610009. The next prime is 1121761610083. The reversal of 1121761610017 is 7100161671211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1071796396176 + 49965213841 = 1035276^2 + 223529^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121761610017 - 2³ = 1121761610009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1121761611017) 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, 560880805008 + 560880805009.

It is an arithmetic number, because the mean of its divisors is an integer number (560880805009).

Almost surely, 2^{1121761610017} is an apocalyptic number.

It is an amenable number.

1121761610017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121761610017 is an equidigital number, since it uses as much as digits as its factorization.

1121761610017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 34.

The spelling of 1121761610017 in words is "one trillion, one hundred twenty-one billion, seven hundred sixty-one million, six hundred ten thousand, seventeen".