2112002022017 has 2 divisors, whose sum is σ = 2112002022018. Its totient is φ = 2112002022016.

The previous prime is 2112002022007. The next prime is 2112002022023. The reversal of 2112002022017 is 7102202002112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1154498674576 + 957503347441 = 1074476^2 + 978521^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112002022017 - 2⁸ = 2112002021761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2112002022017.

It is not a weakly prime, because it can be changed into another prime (2112002022007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056001011008 + 1056001011009.

It is an arithmetic number, because the mean of its divisors is an integer number (1056001011009).

Almost surely, 2^{2112002022017} is an apocalyptic number.

It is an amenable number.

2112002022017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112002022017 is an equidigital number, since it uses as much as digits as its factorization.

2112002022017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 2112002022017 its reverse (7102202002112), we get a palindrome (9214204024129).

The spelling of 2112002022017 in words is "two trillion, one hundred twelve billion, two million, twenty-two thousand, seventeen".