11010112200 has 144 divisors (see below), whose sum is σ = 37975197780. Its totient is φ = 2856660480.

The previous prime is 11010112199. The next prime is 11010112207. The reversal of 11010112200 is 221101011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2380073796 + 8630038404 = 48786^2 + 92898^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11010112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16059 + ... + 149258.

Almost surely, 2^11010112200 is an apocalyptic number.

11010112200 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 11010112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987598890).

11010112200 is an abundant number, since it is smaller than the sum of its proper divisors (26965085580).

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

11010112200 is a wasteful number, since it uses less digits than its factorization.

11010112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165376 (or 165364 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11010112200 its reverse (221101011), we get a palindrome (11231213211).

The spelling of 11010112200 in words is "eleven billion, ten million, one hundred twelve thousand, two hundred".