110221121120 has 192 divisors, whose sum is σ = 305274686976. Its totient is φ = 37159034880.

The previous prime is 110221121117. The next prime is 110221121159. The reversal of 110221121120 is 21121122011.

It is a junction number, because it is equal to n+sod(n) for n = 110221121095 and 110221121104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1977149 + ... + 2032131.

It is an arithmetic number, because the mean of its divisors is an integer number (1589972328).

Almost surely, 2^110221121120 is an apocalyptic number.

110221121120 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 110221121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152637343488).

110221121120 is an abundant number, since it is smaller than the sum of its proper divisors (195053565856).

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

110221121120 is a wasteful number, since it uses less digits than its factorization.

110221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55093 (or 55085 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110221121120 its reverse (21121122011), we get a palindrome (131342243131).

The spelling of 110221121120 in words is "one hundred ten billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".