111110110000110 has 144 divisors (see below), whose sum is σ = 313373344914864. Its totient is φ = 27301599456768.

The previous prime is 111110110000103. The next prime is 111110110000117. The reversal of 111110110000110 is 11000011011111.

It is an interprime number because it is at equal distance from previous prime (111110110000103) and next prime (111110110000117).

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 = 111110110000092 and 111110110000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111110110000117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2075602 + ... + 15050858.

It is an arithmetic number, because the mean of its divisors is an integer number (2176203784131).

Almost surely, 2^{111110110000110} is an apocalyptic number.

111110110000110 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 111110110000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686672457432).

111110110000110 is an abundant number, since it is smaller than the sum of its proper divisors (202263234914754).

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

111110110000110 is a wasteful number, since it uses less digits than its factorization.

111110110000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12975859 (or 12975843 counting only the distinct ones).

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

Adding to 111110110000110 its reverse (11000011011111), we get a palindrome (122110121011221).

The spelling of 111110110000110 in words is "one hundred eleven trillion, one hundred ten billion, one hundred ten million, one hundred ten", and thus it is an aban number.