11010112211200 has 108 divisors (see below), whose sum is σ = 27254756052720. Its totient is φ = 4403558778880.

The previous prime is 11010112211179. The next prime is 11010112211221. The reversal of 11010112211200 is 211221101011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11010112211179) and next prime (11010112211221).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60959427 + ... + 61139773.

It is an arithmetic number, because the mean of its divisors is an integer number (252358852340).

Almost surely, 2^{11010112211200} is an apocalyptic number.

11010112211200 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 11010112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13627378026360).

11010112211200 is an abundant number, since it is smaller than the sum of its proper divisors (16244643841520).

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

11010112211200 is an equidigital number, since it uses as much as digits as its factorization.

11010112211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189912 (or 189893 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11010112211200 its reverse (211221101011), we get a palindrome (11221333312211).

The spelling of 11010112211200 in words is "eleven trillion, ten billion, one hundred twelve million, two hundred eleven thousand, two hundred".