3222033332100 has 576 divisors, whose sum is σ = 10696547377152. Its totient is φ = 741731328000.

The previous prime is 3222033332087. The next prime is 3222033332123. The reversal of 3222033332100 is 12333302223.

3222033332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1333070092 + ... + 1333072508.

It is an arithmetic number, because the mean of its divisors is an integer number (18570394752).

Almost surely, 2^{3222033332100} is an apocalyptic number.

3222033332100 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 3222033332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348273688576).

3222033332100 is an abundant number, since it is smaller than the sum of its proper divisors (7474514045052).

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

3222033332100 is a wasteful number, since it uses less digits than its factorization.

3222033332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 3222033332100 its reverse (12333302223), we get a palindrome (3234366634323).

The spelling of 3222033332100 in words is "three trillion, two hundred twenty-two billion, thirty-three million, three hundred thirty-two thousand, one hundred".