101001000017 has 2 divisors, whose sum is σ = 101001000018. Its totient is φ = 101001000016.

The previous prime is 101000999951. The next prime is 101001000097. The reversal of 101001000017 is 710000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98141852176 + 2859147841 = 313276^2 + 53471^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001000017 - 2¹⁰ = 101000998993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000999971 and 101001000007.

It is not a weakly prime, because it can be changed into another prime (101001000097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500008 + 50500500009.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500009).

Almost surely, 2^101001000017 is an apocalyptic number.

It is an amenable number.

101001000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000017 is an equidigital number, since it uses as much as digits as its factorization.

101001000017 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 11.

Adding to 101001000017 its reverse (710000100101), we get a palindrome (811001100118).

The spelling of 101001000017 in words is "one hundred one billion, one million, seventeen", and thus it is an aban number.