110110120120 has 256 divisors, whose sum is σ = 350150169600. Its totient is φ = 30012456960.

The previous prime is 110110120117. The next prime is 110110120123. The reversal of 110110120120 is 21021011011.

It is an interprime number because it is at equal distance from previous prime (110110120117) and next prime (110110120123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110110120097 and 110110120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110120123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688392 + ... + 833128.

It is an arithmetic number, because the mean of its divisors is an integer number (1367774100).

Almost surely, 2^110110120120 is an apocalyptic number.

110110120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175075084800).

110110120120 is an abundant number, since it is smaller than the sum of its proper divisors (240040049480).

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

110110120120 is a wasteful number, since it uses less digits than its factorization.

110110120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144798 (or 144794 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110110120120 its reverse (21021011011), we get a palindrome (131131131131).

The spelling of 110110120120 in words is "one hundred ten billion, one hundred ten million, one hundred twenty thousand, one hundred twenty".