2010113103017 has 2 divisors, whose sum is σ = 2010113103018. Its totient is φ = 2010113103016.

The previous prime is 2010113102993. The next prime is 2010113103043. The reversal of 2010113103017 is 7103013110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1639997829376 + 370115273641 = 1280624^2 + 608371^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010113103017 - 2²² = 2010108908713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2010113103017.

It is not a weakly prime, because it can be changed into another prime (2010113105017) 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, 1005056551508 + 1005056551509.

It is an arithmetic number, because the mean of its divisors is an integer number (1005056551509).

Almost surely, 2^{2010113103017} is an apocalyptic number.

It is an amenable number.

2010113103017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010113103017 is an equidigital number, since it uses as much as digits as its factorization.

2010113103017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 2010113103017 its reverse (7103013110102), we get a palindrome (9113126213119).

The spelling of 2010113103017 in words is "two trillion, ten billion, one hundred thirteen million, one hundred three thousand, seventeen".