22100011200 has 252 divisors, whose sum is σ = 80673539440. Its totient is φ = 5733918720.

The previous prime is 22100011189. The next prime is 22100011201. The reversal of 22100011200 is 211000122.

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 (22100011201) 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, 512061 + ... + 553539.

Almost surely, 2^22100011200 is an apocalyptic number.

22100011200 is a gapful number since it is divisible by the number (20) 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 22100011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40336769720).

22100011200 is an abundant number, since it is smaller than the sum of its proper divisors (58573528240).

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

22100011200 is a wasteful number, since it uses less digits than its factorization.

22100011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41544 (or 41526 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22100011200 its reverse (211000122), we get a palindrome (22311011322).

The spelling of 22100011200 in words is "twenty-two billion, one hundred million, eleven thousand, two hundred".