11102117 has 12 divisors (see below), whose sum is σ = 12121920. Its totient is φ = 10163088.

The previous prime is 11102087. The next prime is 11102131. The reversal of 11102117 is 71120111.

It is not a de Polignac number, because 11102117 - 2¹⁰ = 11101093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30068 + ... + 30434.

It is an arithmetic number, because the mean of its divisors is an integer number (1010160).

Almost surely, 2^11102117 is an apocalyptic number.

It is an amenable number.

11102117 is a deficient number, since it is larger than the sum of its proper divisors (1019803).

11102117 is a wasteful number, since it uses less digits than its factorization.

11102117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 559 counting only the distinct ones).

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

The square root of 11102117 is about 3331.9839435387. The cubic root of 11102117 is about 223.0840908975.

Adding to 11102117 its reverse (71120111), we get a palindrome (82222228).

The spelling of 11102117 in words is "eleven million, one hundred two thousand, one hundred seventeen".