110116111 has 24 divisors (see below), whose sum is σ = 133144704. Its totient is φ = 89197680.

The previous prime is 110116109. The next prime is 110116121. The reversal of 110116111 is 111611011.

It is not a de Polignac number, because 110116111 - 2¹ = 110116109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110116091 and 110116100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110116121) 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 23 ways as a sum of consecutive naturals, for example, 484980 + ... + 485206.

It is an arithmetic number, because the mean of its divisors is an integer number (5547696).

Almost surely, 2^110116111 is an apocalyptic number.

110116111 is a deficient number, since it is larger than the sum of its proper divisors (23028593).

110116111 is a wasteful number, since it uses less digits than its factorization.

110116111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

The square root of 110116111 is about 10493.6223964844. The cubic root of 110116111 is about 479.3105132571.

Adding to 110116111 its reverse (111611011), we get a palindrome (221727122).

The spelling of 110116111 in words is "one hundred ten million, one hundred sixteen thousand, one hundred eleven".