3323001221100 has 576 divisors, whose sum is σ = 11862890726400. Its totient is φ = 791223552000.

The previous prime is 3323001221027. The next prime is 3323001221107. The reversal of 3323001221100 is 11221003233.

3323001221100 is a `hidden beast` number, since 332 + 300 + 1 + 2 + 21 + 10 + 0 = 666.

It is a super-2 number, since 2×3323001221100² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3323001221107) by changing a digit.

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, 584107056 + ... + 584112744.

It is an arithmetic number, because the mean of its divisors is an integer number (20595296400).

Almost surely, 2^{3323001221100} is an apocalyptic number.

3323001221100 is a gapful number since it is divisible by the number (30) 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 3323001221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931445363200).

3323001221100 is an abundant number, since it is smaller than the sum of its proper divisors (8539889505300).

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

3323001221100 is a wasteful number, since it uses less digits than its factorization.

3323001221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3323001221100 its reverse (11221003233), we get a palindrome (3334222224333).

The spelling of 3323001221100 in words is "three trillion, three hundred twenty-three billion, one million, two hundred twenty-one thousand, one hundred".