110221120 has 112 divisors (see below), whose sum is σ = 278562816. Its totient is φ = 41472000.

The previous prime is 110221103. The next prime is 110221171. The reversal of 110221120 is 21122011.

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 = 110221097 and 110221106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406585 + ... + 406855.

It is an arithmetic number, because the mean of its divisors is an integer number (2487168).

Almost surely, 2^110221120 is an apocalyptic number.

110221120 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 110221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139281408).

110221120 is an abundant number, since it is smaller than the sum of its proper divisors (168341696).

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

110221120 is a wasteful number, since it uses less digits than its factorization.

110221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 110221120 is about 10498.6246718320. The cubic root of 110221120 is about 479.4628249898.

Adding to 110221120 its reverse (21122011), we get a palindrome (131343131).

It can be divided in two parts, 1102 and 21120, that added together give a palindrome (22222).

The spelling of 110221120 in words is "one hundred ten million, two hundred twenty-one thousand, one hundred twenty".