1100000017 has 2 divisors, whose sum is σ = 1100000018. Its totient is φ = 1100000016.

The previous prime is 1100000009. The next prime is 1100000051. The reversal of 1100000017 is 7100000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1047234321 + 52765696 = 32361^2 + 7264^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100000017 - 2³ = 1100000009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1099999949 and 1100000012.

It is not a weakly prime, because it can be changed into another prime (1100000717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550000008 + 550000009.

It is an arithmetic number, because the mean of its divisors is an integer number (550000009).

Almost surely, 2^1100000017 is an apocalyptic number.

It is an amenable number.

1100000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100000017 is an equidigital number, since it uses as much as digits as its factorization.

1100000017 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 10.

The square root of 1100000017 is about 33166.2481598386. The cubic root of 1100000017 is about 1032.2801207742.

Adding to 1100000017 its reverse (7100000011), we get a palindrome (8200000028).

The spelling of 1100000017 in words is "one billion, one hundred million, seventeen", and thus it is an aban number.