112211002110200 has 192 divisors, whose sum is σ = 298488425280000. Its totient is φ = 38430076285440.

The previous prime is 112211002110197. The next prime is 112211002110217. The reversal of 112211002110200 is 2011200112211.

112211002110200 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 (14).

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, 5147518901 + ... + 5147540699.

It is an arithmetic number, because the mean of its divisors is an integer number (1554627215000).

Almost surely, 2^{112211002110200} is an apocalyptic number.

112211002110200 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 112211002110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149244212640000).

112211002110200 is an abundant number, since it is smaller than the sum of its proper divisors (186277423169800).

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

112211002110200 is a wasteful number, since it uses less digits than its factorization.

112211002110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25694 (or 25685 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112211002110200 its reverse (2011200112211), we get a palindrome (114222202222411).

The spelling of 112211002110200 in words is "one hundred twelve trillion, two hundred eleven billion, two million, one hundred ten thousand, two hundred".