3213122100 has 144 divisors (see below), whose sum is σ = 9802039296. Its totient is φ = 811440000.

The previous prime is 3213122047. The next prime is 3213122203. The reversal of 3213122100 is 12213123.

3213122100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3213122100.

It is a congruent number.

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, 433425 + ... + 440775.

Almost surely, 2^3213122100 is an apocalyptic number.

3213122100 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 3213122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901019648).

3213122100 is an abundant number, since it is smaller than the sum of its proper divisors (6588917196).

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

3213122100 is a wasteful number, since it uses less digits than its factorization.

3213122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3213122100 is about 56684.4079090538. The cubic root of 3213122100 is about 1475.6241120214.

Adding to 3213122100 its reverse (12213123), we get a palindrome (3225335223).

The spelling of 3213122100 in words is "three billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred".