100010010101017 has 2 divisors, whose sum is σ = 100010010101018. Its totient is φ = 100010010101016.

The previous prime is 100010010100943. The next prime is 100010010101077. The reversal of 100010010101017 is 710101010010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91994877228816 + 8015132872201 = 9591396^2 + 2831101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010010101017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010010100988 and 100010010101006.

It is not a weakly prime, because it can be changed into another prime (100010010101077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005005050508 + 50005005050509.

It is an arithmetic number, because the mean of its divisors is an integer number (50005005050509).

Almost surely, 2^{100010010101017} is an apocalyptic number.

It is an amenable number.

100010010101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010010101017 is an equidigital number, since it uses as much as digits as its factorization.

100010010101017 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 13.

Adding to 100010010101017 its reverse (710101010010001), we get a palindrome (810111020111018).

The spelling of 100010010101017 in words is "one hundred trillion, ten billion, ten million, one hundred one thousand, seventeen".