11102100017 has 2 divisors, whose sum is σ = 11102100018. Its totient is φ = 11102100016.

The previous prime is 11102100001. The next prime is 11102100043. The reversal of 11102100017 is 71000120111.

11102100017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10999604641 + 102495376 = 104879^2 + 10124^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102100017 - 2⁴ = 11102100001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11102099974 and 11102100010.

It is not a weakly prime, because it can be changed into another prime (11102100077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551050008 + 5551050009.

It is an arithmetic number, because the mean of its divisors is an integer number (5551050009).

Almost surely, 2^11102100017 is an apocalyptic number.

It is an amenable number.

11102100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102100017 is an equidigital number, since it uses as much as digits as its factorization.

11102100017 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11102100017 its reverse (71000120111), we get a palindrome (82102220128).

The spelling of 11102100017 in words is "eleven billion, one hundred two million, one hundred thousand, seventeen".