110221102200 has 288 divisors, whose sum is σ = 377862065280. Its totient is φ = 26557344000.

The previous prime is 110221102183. The next prime is 110221102207. The reversal of 110221102200 is 2201122011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110221102207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12119655 + ... + 12128745.

It is an arithmetic number, because the mean of its divisors is an integer number (1312021060).

Almost surely, 2^110221102200 is an apocalyptic number.

110221102200 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 110221102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188931032640).

110221102200 is an abundant number, since it is smaller than the sum of its proper divisors (267640963080).

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

110221102200 is a wasteful number, since it uses less digits than its factorization.

110221102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110221102200 its reverse (2201122011), we get a palindrome (112422224211).

It can be divided in two parts, 11022 and 1102200, that multiplied together give a square (12148448400 = 110220²).

The spelling of 110221102200 in words is "one hundred ten billion, two hundred twenty-one million, one hundred two thousand, two hundred".