111000110110110 has 384 divisors, whose sum is σ = 314791593532416. Its totient is φ = 26974665768960.

The previous prime is 111000110110079. The next prime is 111000110110121. The reversal of 111000110110110 is 11011011000111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111000110110092 and 111000110110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45811022359 + ... + 45811024781.

It is an arithmetic number, because the mean of its divisors is an integer number (819769774824).

Almost surely, 2^{111000110110110} is an apocalyptic number.

111000110110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111000110110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157395796766208).

111000110110110 is an abundant number, since it is smaller than the sum of its proper divisors (203791483422306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111000110110110 is a wasteful number, since it uses less digits than its factorization.

111000110110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111000110110110 its reverse (11011011000111), we get a palindrome (122011121110221).

The spelling of 111000110110110 in words is "one hundred eleven trillion, one hundred ten million, one hundred ten thousand, one hundred ten".