22200222221100 has 864 divisors, whose sum is σ = 90278701793280. Its totient is φ = 4429349568000.

The previous prime is 22200222221071. The next prime is 22200222221113. The reversal of 22200222221100 is 112222200222.

22200222221100 is a `hidden beast` number, since 2 + 220 + 0 + 222 + 221 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

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 287 ways as a sum of consecutive naturals, for example, 175750965 + ... + 175877235.

Almost surely, 2^{22200222221100} is an apocalyptic number.

22200222221100 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 22200222221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45139350896640).

22200222221100 is an abundant number, since it is smaller than the sum of its proper divisors (68078479572180).

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

22200222221100 is a wasteful number, since it uses less digits than its factorization.

22200222221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126411 (or 126401 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22200222221100 its reverse (112222200222), we get a palindrome (22312444421322).

The spelling of 22200222221100 in words is "twenty-two trillion, two hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".