110221201111120 has 320 divisors, whose sum is σ = 303503734017792. Its totient is φ = 36768923648000.

The previous prime is 110221201111093. The next prime is 110221201111199. The reversal of 110221201111120 is 21111102122011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110221201111094 and 110221201111103.

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, 672774015 + ... + 672937825.

Almost surely, 2^{110221201111120} is an apocalyptic number.

110221201111120 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 110221201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151751867008896).

110221201111120 is an abundant number, since it is smaller than the sum of its proper divisors (193282532906672).

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

110221201111120 is a wasteful number, since it uses less digits than its factorization.

110221201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164990 (or 164984 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110221201111120 its reverse (21111102122011), we get a palindrome (131332303233131).

The spelling of 110221201111120 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred one million, one hundred eleven thousand, one hundred twenty".