111200112100 has 144 divisors (see below), whose sum is σ = 302142911616. Its totient is φ = 34510464000.

The previous prime is 111200112091. The next prime is 111200112161. The reversal of 111200112100 is 1211002111.

111200112100 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 (10).

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 47 ways as a sum of consecutive naturals, for example, 1763110 + ... + 1825090.

It is an arithmetic number, because the mean of its divisors is an integer number (2098214664).

Almost surely, 2^111200112100 is an apocalyptic number.

111200112100 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 111200112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151071455808).

111200112100 is an abundant number, since it is smaller than the sum of its proper divisors (190942799516).

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

111200112100 is a wasteful number, since it uses less digits than its factorization.

111200112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62246 (or 62239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111200112100 its reverse (1211002111), we get a palindrome (112411114211).

It can be divided in two parts, 11120011 and 2100, that added together give a palindrome (11122111).

The spelling of 111200112100 in words is "one hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred".