111001121100 has 324 divisors, whose sum is σ = 373226830704. Its totient is φ = 27541071360.

The previous prime is 111001121071. The next prime is 111001121131. The reversal of 111001121100 is 1121100111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28336342 + ... + 28340258.

Almost surely, 2^111001121100 is an apocalyptic number.

111001121100 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 111001121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186613415352).

111001121100 is an abundant number, since it is smaller than the sum of its proper divisors (262225709604).

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

111001121100 is a wasteful number, since it uses less digits than its factorization.

111001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 3987 counting only the distinct ones).

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

Adding to 111001121100 its reverse (1121100111), we get a palindrome (112122221211).

The spelling of 111001121100 in words is "one hundred eleven billion, one million, one hundred twenty-one thousand, one hundred".