111211100010200 has 192 divisors, whose sum is σ = 266313579840000. Its totient is φ = 43188707694720.

The previous prime is 111211100010169. The next prime is 111211100010217. The reversal of 111211100010200 is 2010001112111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2655512861 + ... + 2655554739.

It is an arithmetic number, because the mean of its divisors is an integer number (1387049895000).

Almost surely, 2^{111211100010200} is an apocalyptic number.

111211100010200 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 111211100010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133156789920000).

111211100010200 is an abundant number, since it is smaller than the sum of its proper divisors (155102479829800).

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

111211100010200 is an equidigital number, since it uses as much as digits as its factorization.

111211100010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42191 (or 42096 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111211100010200 its reverse (2010001112111), we get a palindrome (113221101122311).

The spelling of 111211100010200 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred million, ten thousand, two hundred".