110110112100120 has 256 divisors, whose sum is σ = 369628199424000. Its totient is φ = 26014883788800.

The previous prime is 110110112100103. The next prime is 110110112100143. The reversal of 110110112100120 is 21001211011011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110110112100096 and 110110112100105.

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, 2503801 + ... + 15049559.

It is an arithmetic number, because the mean of its divisors is an integer number (1443860154000).

Almost surely, 2^{110110112100120} is an apocalyptic number.

110110112100120 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 110110112100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184814099712000).

110110112100120 is an abundant number, since it is smaller than the sum of its proper divisors (259518087323880).

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

110110112100120 is a wasteful number, since it uses less digits than its factorization.

110110112100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12545954 (or 12545950 counting only the distinct ones).

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

Adding to 110110112100120 its reverse (21001211011011), we get a palindrome (131111323111131).

It can be divided in two parts, 11011011 and 2100120, that added together give a palindrome (13111131).

The spelling of 110110112100120 in words is "one hundred ten trillion, one hundred ten billion, one hundred twelve million, one hundred thousand, one hundred twenty".