11101200222112 has 384 divisors, whose sum is σ = 29870574612480. Its totient is φ = 3920987381760.

The previous prime is 11101200222097. The next prime is 11101200222179. The reversal of 11101200222112 is 21122200210111.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 63 ways as a sum of consecutive naturals, for example, 2583474748 + ... + 2583479044.

It is an arithmetic number, because the mean of its divisors is an integer number (77787954720).

Almost surely, 2^{11101200222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101200222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935287306240).

11101200222112 is an abundant number, since it is smaller than the sum of its proper divisors (18769374390368).

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

11101200222112 is a wasteful number, since it uses less digits than its factorization.

11101200222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101200222112 its reverse (21122200210111), we get a palindrome (32223400432223).

The spelling of 11101200222112 in words is "eleven trillion, one hundred one billion, two hundred million, two hundred twenty-two thousand, one hundred twelve".