1111101010117 has 16 divisors (see below), whose sum is σ = 1301250246912. Its totient is φ = 928822942080.

The previous prime is 1111101010111. The next prime is 1111101010177. The reversal of 1111101010117 is 7110101011111.

It is a cyclic number.

It is not a de Polignac number, because 1111101010117 - 2³ = 1111101010109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1111101010117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111101010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166363 + ... + 1499959.

It is an arithmetic number, because the mean of its divisors is an integer number (81328140432).

Almost surely, 2^{1111101010117} is an apocalyptic number.

It is an amenable number.

1111101010117 is a deficient number, since it is larger than the sum of its proper divisors (190149236795).

1111101010117 is a wasteful number, since it uses less digits than its factorization.

1111101010117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336548.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 1111101010117 its reverse (7110101011111), we get a palindrome (8221202021228).

The spelling of 1111101010117 in words is "one trillion, one hundred eleven billion, one hundred one million, ten thousand, one hundred seventeen".