2200221333100 has 288 divisors, whose sum is σ = 5818517591040. Its totient is φ = 704968704000.

The previous prime is 2200221333019. The next prime is 2200221333109. The reversal of 2200221333100 is 13331220022.

It is a super-2 number, since 2×2200221333100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2200221333109) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1201649185 + ... + 1201651015.

It is an arithmetic number, because the mean of its divisors is an integer number (20203186080).

Almost surely, 2^{2200221333100} is an apocalyptic number.

2200221333100 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 2200221333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909258795520).

2200221333100 is an abundant number, since it is smaller than the sum of its proper divisors (3618296257940).

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

2200221333100 is a wasteful number, since it uses less digits than its factorization.

2200221333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2200221333100 its reverse (13331220022), we get a palindrome (2213552553122).

The spelling of 2200221333100 in words is "two trillion, two hundred billion, two hundred twenty-one million, three hundred thirty-three thousand, one hundred".