110000001100110 has 128 divisors (see below), whose sum is σ = 293449943992320. Its totient is φ = 26162097561600.

The previous prime is 110000001100079. The next prime is 110000001100127. The reversal of 110000001100110 is 11001100000011.

110000001100110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

110000001100110 is a modest number, since divided by 1100110 gives 1100000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340386286 + ... + 340709294.

It is an arithmetic number, because the mean of its divisors is an integer number (2292577687440).

Almost surely, 2^{110000001100110} is an apocalyptic number.

110000001100110 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 110000001100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146724971996160).

110000001100110 is an abundant number, since it is smaller than the sum of its proper divisors (183449942892210).

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

110000001100110 is a wasteful number, since it uses less digits than its factorization.

110000001100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342554.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110000001100110 its reverse (11001100000011), we get a palindrome (121001101100121).

The spelling of 110000001100110 in words is "one hundred ten trillion, one million, one hundred thousand, one hundred ten".