11221200100 has 144 divisors (see below), whose sum is σ = 27317001600. Its totient is φ = 3966336000.

The previous prime is 11221200097. The next prime is 11221200167. The reversal of 11221200100 is 100212211.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 47 ways as a sum of consecutive naturals, for example, 5970961 + ... + 5972839.

It is an arithmetic number, because the mean of its divisors is an integer number (189701400).

Almost surely, 2^11221200100 is an apocalyptic number.

11221200100 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 11221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658500800).

11221200100 is an abundant number, since it is smaller than the sum of its proper divisors (16095801500).

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

11221200100 is a wasteful number, since it uses less digits than its factorization.

11221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11221200100 its reverse (100212211), we get a palindrome (11321412311).

It can be divided in two parts, 112 and 21200100, that added together give a palindrome (21200212).

The spelling of 11221200100 in words is "eleven billion, two hundred twenty-one million, two hundred thousand, one hundred".