110112000122100 has 288 divisors, whose sum is σ = 332769329622016. Its totient is φ = 28084000665600.

The previous prime is 110112000122057. The next prime is 110112000122129. The reversal of 110112000122100 is 1221000211011.

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

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 95 ways as a sum of consecutive naturals, for example, 1121905629 + ... + 1122003771.

Almost surely, 2^{110112000122100} is an apocalyptic number.

110112000122100 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 110112000122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166384664811008).

110112000122100 is an abundant number, since it is smaller than the sum of its proper divisors (222657329499916).

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

110112000122100 is a wasteful number, since it uses less digits than its factorization.

110112000122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99915 (or 99908 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110112000122100 its reverse (1221000211011), we get a palindrome (111333000333111).

The spelling of 110112000122100 in words is "one hundred ten trillion, one hundred twelve billion, one hundred twenty-two thousand, one hundred".