111001112100 has 252 divisors, whose sum is σ = 364674326016. Its totient is φ = 29310932160.

The previous prime is 111001112093. The next prime is 111001112119. The reversal of 111001112100 is 1211100111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7501309 + ... + 7516091.

Almost surely, 2^111001112100 is an apocalyptic number.

111001112100 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 111001112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182337163008).

111001112100 is an abundant number, since it is smaller than the sum of its proper divisors (253673213916).

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

111001112100 is a wasteful number, since it uses less digits than its factorization.

111001112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14918 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111001112100 its reverse (1211100111), we get a palindrome (112212212211).

The spelling of 111001112100 in words is "one hundred eleven billion, one million, one hundred twelve thousand, one hundred".