3221232212100 has 216 divisors, whose sum is σ = 10850019908448. Its totient is φ = 735719846400.

The previous prime is 3221232211993. The next prime is 3221232212117. The reversal of 3221232212100 is 12122321223.

It is a super-3 number, since 3×3221232212100³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19335759 + ... + 19501641.

Almost surely, 2^{3221232212100} is an apocalyptic number.

3221232212100 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 3221232212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425009954224).

3221232212100 is an abundant number, since it is smaller than the sum of its proper divisors (7628787696348).

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

3221232212100 is a wasteful number, since it uses less digits than its factorization.

3221232212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167235 (or 167221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3221232212100 its reverse (12122321223), we get a palindrome (3233354533323).

The spelling of 3221232212100 in words is "three trillion, two hundred twenty-one billion, two hundred thirty-two million, two hundred twelve thousand, one hundred".