22221221200100 has 576 divisors, whose sum is σ = 58534686873600. Its totient is φ = 7242504192000.

The previous prime is 22221221200091. The next prime is 22221221200111. The reversal of 22221221200100 is 100212212222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9348430112 + ... + 9348432488.

Almost surely, 2^{22221221200100} is an apocalyptic number.

22221221200100 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 22221221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29267343436800).

22221221200100 is an abundant number, since it is smaller than the sum of its proper divisors (36313465673500).

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

22221221200100 is a wasteful number, since it uses less digits than its factorization.

22221221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22221221200100 its reverse (100212212222), we get a palindrome (22321433412322).

The spelling of 22221221200100 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, one hundred".