111011201100 has 108 divisors (see below), whose sum is σ = 348546894696. Its totient is φ = 29552924160.

The previous prime is 111011201099. The next prime is 111011201123. The reversal of 111011201100 is 1102110111.

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 35 ways as a sum of consecutive naturals, for example, 429699 + ... + 637701.

It is an arithmetic number, because the mean of its divisors is an integer number (3227286062).

Almost surely, 2^111011201100 is an apocalyptic number.

111011201100 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 111011201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174273447348).

111011201100 is an abundant number, since it is smaller than the sum of its proper divisors (237535693596).

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

111011201100 is a wasteful number, since it uses less digits than its factorization.

111011201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208616 (or 208606 counting only the distinct ones).

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

Adding to 111011201100 its reverse (1102110111), we get a palindrome (112113311211).

It can be divided in two parts, 11101 and 1201100, that added together give a square (1212201 = 1101²).

The spelling of 111011201100 in words is "one hundred eleven billion, eleven million, two hundred one thousand, one hundred".