3221233122100 has 288 divisors, whose sum is σ = 8614751120640. Its totient is φ = 1020373770240.

The previous prime is 3221233122091. The next prime is 3221233122109. The reversal of 3221233122100 is 12213321223.

It is an interprime number because it is at equal distance from previous prime (3221233122091) and next prime (3221233122109).

It is a super-2 number, since 2×3221233122100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221233122109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233602006 + ... + 233615794.

It is an arithmetic number, because the mean of its divisors is an integer number (29912330280).

Almost surely, 2^{3221233122100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221233122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307375560320).

3221233122100 is an abundant number, since it is smaller than the sum of its proper divisors (5393517998540).

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

3221233122100 is a wasteful number, since it uses less digits than its factorization.

3221233122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14187 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3221233122100 its reverse (12213321223), we get a palindrome (3233446443323).

The spelling of 3221233122100 in words is "three trillion, two hundred twenty-one billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred".