110120101201110 has 512 divisors, whose sum is σ = 376171278336000. Its totient is φ = 19855699107840.

The previous prime is 110120101201051. The next prime is 110120101201111. The reversal of 110120101201110 is 11102101021011.

110120101201110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120101201111) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 428189341 + ... + 428446439.

It is an arithmetic number, because the mean of its divisors is an integer number (734709528000).

Almost surely, 2^{110120101201110} is an apocalyptic number.

110120101201110 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 110120101201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188085639168000).

110120101201110 is an abundant number, since it is smaller than the sum of its proper divisors (266051177134890).

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

110120101201110 is a wasteful number, since it uses less digits than its factorization.

110120101201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257996.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110120101201110 its reverse (11102101021011), we get a palindrome (121222202222121).

The spelling of 110120101201110 in words is "one hundred ten trillion, one hundred twenty billion, one hundred one million, two hundred one thousand, one hundred ten".