111112123222100 has 432 divisors, whose sum is σ = 337432929993600. Its totient is φ = 30865958323200.

The previous prime is 111112123222097. The next prime is 111112123222109. The reversal of 111112123222100 is 1222321211111.

111112123222100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112123222109) 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 143 ways as a sum of consecutive naturals, for example, 30192071 + ... + 33671729.

Almost surely, 2^{111112123222100} is an apocalyptic number.

111112123222100 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 111112123222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168716464996800).

111112123222100 is an abundant number, since it is smaller than the sum of its proper divisors (226320806771500).

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

111112123222100 is a wasteful number, since it uses less digits than its factorization.

111112123222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479744 (or 3479726 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 111112123222100 its reverse (1222321211111), we get a palindrome (112334444433211).

The spelling of 111112123222100 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred".