10000211012017 has 2 divisors, whose sum is σ = 10000211012018. Its totient is φ = 10000211012016.

The previous prime is 10000211011981. The next prime is 10000211012053. The reversal of 10000211012017 is 71021011200001.

It is a balanced prime because it is at equal distance from previous prime (10000211011981) and next prime (10000211012053).

It can be written as a sum of positive squares in only one way, i.e., 5464542068496 + 4535668943521 = 2337636^2 + 2129711^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000211012017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000211012417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000105506008 + 5000105506009.

It is an arithmetic number, because the mean of its divisors is an integer number (5000105506009).

Almost surely, 2^{10000211012017} is an apocalyptic number.

It is an amenable number.

10000211012017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000211012017 is an equidigital number, since it uses as much as digits as its factorization.

10000211012017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 10000211012017 its reverse (71021011200001), we get a palindrome (81021222212018).

The spelling of 10000211012017 in words is "ten trillion, two hundred eleven million, twelve thousand, seventeen".