110221301442200 has 192 divisors, whose sum is σ = 277450619211360. Its totient is φ = 40480332779520.

The previous prime is 110221301442191. The next prime is 110221301442269. The reversal of 110221301442200 is 2244103122011.

It is a super-2 number, since 2×110221301442200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409706132 + ... + 409975068.

Almost surely, 2^{110221301442200} is an apocalyptic number.

110221301442200 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 110221301442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138725309605680).

110221301442200 is an abundant number, since it is smaller than the sum of its proper divisors (167229317769160).

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

110221301442200 is a wasteful number, since it uses less digits than its factorization.

110221301442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269806 (or 269797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 110221301442200 its reverse (2244103122011), we get a palindrome (112465404564211).

The spelling of 110221301442200 in words is "one hundred ten trillion, two hundred twenty-one billion, three hundred one million, four hundred forty-two thousand, two hundred".