3221100013122 has 64 divisors (see below), whose sum is σ = 7637952624000. Its totient is φ = 1003255352064.

The previous prime is 3221100013097. The next prime is 3221100013129. The reversal of 3221100013122 is 2213100011223.

3221100013122 is digitally balanced in base 2, because in such base 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 3221100013095 and 3221100013104.

It is not an unprimeable number, because it can be changed into a prime (3221100013129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21428347 + ... + 21578142.

It is an arithmetic number, because the mean of its divisors is an integer number (119343009750).

Almost surely, 2^{3221100013122} is an apocalyptic number.

3221100013122 is an abundant number, since it is smaller than the sum of its proper divisors (4416852610878).

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

3221100013122 is a wasteful number, since it uses less digits than its factorization.

3221100013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43006592 (or 43006586 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3221100013122 its reverse (2213100011223), we get a palindrome (5434200024345).

The spelling of 3221100013122 in words is "three trillion, two hundred twenty-one billion, one hundred million, thirteen thousand, one hundred twenty-two".