11001005117 has 2 divisors, whose sum is σ = 11001005118. Its totient is φ = 11001005116.

The previous prime is 11001005089. The next prime is 11001005137. The reversal of 11001005117 is 71150010011.

It is a happy number.

11001005117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10006801156 + 994203961 = 100034^2 + 31531^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11001005117 is a prime.

It is a super-2 number, since 2×11001005117² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11001005095 and 11001005104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001005137) 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, 5500502558 + 5500502559.

It is an arithmetic number, because the mean of its divisors is an integer number (5500502559).

Almost surely, 2^11001005117 is an apocalyptic number.

It is an amenable number.

11001005117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001005117 is an equidigital number, since it uses as much as digits as its factorization.

11001005117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 17.

Adding to 11001005117 its reverse (71150010011), we get a palindrome (82151015128).

The spelling of 11001005117 in words is "eleven billion, one million, five thousand, one hundred seventeen".