111111122200100 has 288 divisors, whose sum is σ = 276060503496960. Its totient is φ = 38443546624000.

The previous prime is 111111122200081. The next prime is 111111122200109. The reversal of 111111122200100 is 1002221111111.

It is not an unprimeable number, because it can be changed into a prime (111111122200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5474253152 + ... + 5474273448.

It is an arithmetic number, because the mean of its divisors is an integer number (958543414920).

Almost surely, 2^{111111122200100} is an apocalyptic number.

111111122200100 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 111111122200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138030251748480).

111111122200100 is an abundant number, since it is smaller than the sum of its proper divisors (164949381296860).

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

111111122200100 is a wasteful number, since it uses less digits than its factorization.

111111122200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22839 (or 22832 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111111122200100 its reverse (1002221111111), we get a palindrome (112113343311211).

The spelling of 111111122200100 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred twenty-two million, two hundred thousand, one hundred".