111112211002100 has 216 divisors, whose sum is σ = 306040594023360. Its totient is φ = 34625185728000.

The previous prime is 111112211002099. The next prime is 111112211002159. The reversal of 111112211002100 is 1200112211111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 262335296 + ... + 262758504.

It is an arithmetic number, because the mean of its divisors is an integer number (1416854601960).

Almost surely, 2^{111112211002100} is an apocalyptic number.

111112211002100 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 111112211002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153020297011680).

111112211002100 is an abundant number, since it is smaller than the sum of its proper divisors (194928383021260).

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

111112211002100 is a wasteful number, since it uses less digits than its factorization.

111112211002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428119 (or 428105 counting only the distinct ones).

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

Adding to 111112211002100 its reverse (1200112211111), we get a palindrome (112312323213211).

The spelling of 111112211002100 in words is "one hundred eleven trillion, one hundred twelve billion, two hundred eleven million, two thousand, one hundred".