110022001100 has 162 divisors, whose sum is σ = 266010372684. Its totient is φ = 39171916800.

The previous prime is 110022001087. The next prime is 110022001151. The reversal of 110022001100 is 1100220011.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 803080232 + ... + 803080368.

Almost surely, 2^110022001100 is an apocalyptic number.

110022001100 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 110022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133005186342).

110022001100 is an abundant number, since it is smaller than the sum of its proper divisors (155988371584).

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

110022001100 is a wasteful number, since it uses less digits than its factorization.

110022001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110022001100 its reverse (1100220011), we get a palindrome (111122221111).

Subtracting from 110022001100 its reverse (1100220011), we obtain a square (108921781089 = 330033²).

110022001100 divided by its reverse (1100220011) gives a square (100 = 10²).

It can be divided in two parts, 11002 and 2001100, that added together give a palindrome (2012102).

The spelling of 110022001100 in words is "one hundred ten billion, twenty-two million, one thousand, one hundred".