110120100120 has 192 divisors, whose sum is σ = 374089060800. Its totient is φ = 28040601600.

The previous prime is 110120100119. The next prime is 110120100127. The reversal of 110120100120 is 21001021011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4965216 + ... + 4987344.

It is an arithmetic number, because the mean of its divisors is an integer number (1948380525).

Almost surely, 2^110120100120 is an apocalyptic number.

110120100120 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 110120100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187044530400).

110120100120 is an abundant number, since it is smaller than the sum of its proper divisors (263968960680).

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

110120100120 is a wasteful number, since it uses less digits than its factorization.

110120100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22770 (or 22763 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110120100120 its reverse (21001021011), we get a palindrome (131121121131).

It can be divided in two parts, 110120100 and 120, that added together give a triangular number (110120220 = T₁₄₈₄₀).

The spelling of 110120100120 in words is "one hundred ten billion, one hundred twenty million, one hundred thousand, one hundred twenty".