110222200100 has 72 divisors (see below), whose sum is σ = 241562117160. Its totient is φ = 43651041280.

The previous prime is 110222200061. The next prime is 110222200147. The reversal of 110222200100 is 1002222011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 66501062884 + 43721137216 = 257878^2 + 209096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11442086 + ... + 11451714.

It is an arithmetic number, because the mean of its divisors is an integer number (3355029405).

Almost surely, 2^110222200100 is an apocalyptic number.

110222200100 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 110222200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120781058580).

110222200100 is an abundant number, since it is smaller than the sum of its proper divisors (131339917060).

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

110222200100 is a wasteful number, since it uses less digits than its factorization.

110222200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 110222200100 its reverse (1002222011), we get a palindrome (111224422111).

It can be divided in two parts, 11022 and 2200100, that added together give a palindrome (2211122).

The spelling of 110222200100 in words is "one hundred ten billion, two hundred twenty-two million, two hundred thousand, one hundred".