110113221120 has 320 divisors, whose sum is σ = 412127122176. Its totient is φ = 24554373120.

The previous prime is 110113221107. The next prime is 110113221173. The reversal of 110113221120 is 21122311011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110113221120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2179182 + ... + 2229138.

Almost surely, 2^110113221120 is an apocalyptic number.

110113221120 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 110113221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206063561088).

110113221120 is an abundant number, since it is smaller than the sum of its proper divisors (302013901056).

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

110113221120 is an equidigital number, since it uses as much as digits as its factorization.

110113221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50031 (or 50015 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110113221120 its reverse (21122311011), we get a palindrome (131235532131).

The spelling of 110113221120 in words is "one hundred ten billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred twenty".