2002112017 has 2 divisors, whose sum is σ = 2002112018. Its totient is φ = 2002112016.

The previous prime is 2002112003. The next prime is 2002112051. The reversal of 2002112017 is 7102112002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1307473281 + 694638736 = 36159^2 + 26356^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112017 - 2¹¹ = 2002109969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002113017) 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, 1001056008 + 1001056009.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056009).

Almost surely, 2^2002112017 is an apocalyptic number.

It is an amenable number.

2002112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112017 is an equidigital number, since it uses as much as digits as its factorization.

2002112017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 2002112017 is about 44744.9663872932. The cubic root of 2002112017 is about 1260.3643896540.

Adding to 2002112017 its reverse (7102112002), we get a palindrome (9104224019).

The spelling of 2002112017 in words is "two billion, two million, one hundred twelve thousand, seventeen".