11000100017 has 2 divisors, whose sum is σ = 11000100018. Its totient is φ = 11000100016.

The previous prime is 11000099993. The next prime is 11000100031. The reversal of 11000100017 is 71000100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10807889521 + 192210496 = 103961^2 + 13864^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000100017 - 2¹² = 11000095921 is a prime.

It is a super-3 number, since 3×11000100017³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000099980 and 11000100007.

It is not a weakly prime, because it can be changed into another prime (11000100317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500050008 + 5500050009.

It is an arithmetic number, because the mean of its divisors is an integer number (5500050009).

Almost surely, 2^11000100017 is an apocalyptic number.

It is an amenable number.

11000100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000100017 is an equidigital number, since it uses as much as digits as its factorization.

11000100017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 11000100017 its reverse (71000100011), we get a palindrome (82000200028).

The spelling of 11000100017 in words is "eleven billion, one hundred thousand, seventeen".