110122201100 has 72 divisors (see below), whose sum is σ = 240960390048. Its totient is φ = 43682112000.

The previous prime is 110122201097. The next prime is 110122201121. The reversal of 110122201100 is 1102221011.

110122201100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 9250352 + ... + 9262248.

It is an arithmetic number, because the mean of its divisors is an integer number (3346672084).

Almost surely, 2^110122201100 is an apocalyptic number.

110122201100 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 110122201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120480195024).

110122201100 is an abundant number, since it is smaller than the sum of its proper divisors (130838188948).

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

110122201100 is a wasteful number, since it uses less digits than its factorization.

110122201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675 (or 12668 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110122201100 its reverse (1102221011), we get a palindrome (111224422111).

The spelling of 110122201100 in words is "one hundred ten billion, one hundred twenty-two million, two hundred one thousand, one hundred".