3221100320220 has 240 divisors, whose sum is σ = 10299184045920. Its totient is φ = 842440794624.

The previous prime is 3221100320213. The next prime is 3221100320311. The reversal of 3221100320220 is 220230011223.

3221100320220 is a `hidden beast` number, since 3 + 2 + 21 + 100 + 320 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3221100320193 and 3221100320202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 314156614 + ... + 314166866.

It is an arithmetic number, because the mean of its divisors is an integer number (42913266858).

Almost surely, 2^{3221100320220} is an apocalyptic number.

3221100320220 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 3221100320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149592022960).

3221100320220 is an abundant number, since it is smaller than the sum of its proper divisors (7078083725700).

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

3221100320220 is a wasteful number, since it uses less digits than its factorization.

3221100320220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13986 (or 13975 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3221100320220 its reverse (220230011223), we get a palindrome (3441330331443).

The spelling of 3221100320220 in words is "three trillion, two hundred twenty-one billion, one hundred million, three hundred twenty thousand, two hundred twenty".