3213221213100 has 144 divisors (see below), whose sum is σ = 9525002610816. Its totient is φ = 835843392000.

The previous prime is 3213221213057. The next prime is 3213221213113. The reversal of 3213221213100 is 13121223123.

3213221213100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3213221213100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120661987 + ... + 120688613.

It is an arithmetic number, because the mean of its divisors is an integer number (66145851464).

Almost surely, 2^{3213221213100} is an apocalyptic number.

3213221213100 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 3213221213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762501305408).

3213221213100 is an abundant number, since it is smaller than the sum of its proper divisors (6311781397716).

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

3213221213100 is a wasteful number, since it uses less digits than its factorization.

3213221213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36496 (or 36489 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 3213221213100 its reverse (13121223123), we get a palindrome (3226342436223).

The spelling of 3213221213100 in words is "three trillion, two hundred thirteen billion, two hundred twenty-one million, two hundred thirteen thousand, one hundred".