110112221221120 has 72 divisors (see below), whose sum is σ = 263767298992344. Its totient is φ = 44042530701312.

The previous prime is 110112221221099. The next prime is 110112221221127. The reversal of 110112221221120 is 21122122211011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 603865759744 + 109508355461376 = 777088^2 + 10464624^2 .

It is a super-3 number, since 3×110112221221120³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110112221221127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21715812 + ... + 26302108.

It is an arithmetic number, because the mean of its divisors is an integer number (3663434708227).

Almost surely, 2^{110112221221120} is an apocalyptic number.

110112221221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112221221120 is an abundant number, since it is smaller than the sum of its proper divisors (153655077771224).

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

110112221221120 is an equidigital number, since it uses as much as digits as its factorization.

110112221221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605075 (or 4605061 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 110112221221120 its reverse (21122122211011), we get a palindrome (131234343432131).

The spelling of 110112221221120 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".