10010011101017 has 2 divisors, whose sum is σ = 10010011101018. Its totient is φ = 10010011101016.

The previous prime is 10010011100983. The next prime is 10010011101043. The reversal of 10010011101017 is 71010111001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5025021622336 + 4984989478681 = 2241656^2 + 2232709^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010011101017 - 2¹⁶ = 10010011035481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010011100992 and 10010011101010.

It is not a weakly prime, because it can be changed into another prime (10010011103017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005550508 + 5005005550509.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005550509).

Almost surely, 2^{10010011101017} is an apocalyptic number.

It is an amenable number.

10010011101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010011101017 is an equidigital number, since it uses as much as digits as its factorization.

10010011101017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 10010011101017 its reverse (71010111001001), we get a palindrome (81020122102018).

The spelling of 10010011101017 in words is "ten trillion, ten billion, eleven million, one hundred one thousand, seventeen".