3312110022100 has 216 divisors, whose sum is σ = 8370041642424. Its totient is φ = 1132843008000.

The previous prime is 3312110022079. The next prime is 3312110022161. The reversal of 3312110022100 is 12200112133.

It can be written as a sum of positive squares in 12 ways, for example, as 1069747529796 + 2242362492304 = 1034286^2 + 1497452^2 .

It is a congruent number.

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, 405842020 + ... + 405850180.

It is an arithmetic number, because the mean of its divisors is an integer number (38750192789).

Almost surely, 2^{3312110022100} 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 3312110022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185020821212).

3312110022100 is an abundant number, since it is smaller than the sum of its proper divisors (5057931620324).

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

3312110022100 is a wasteful number, since it uses less digits than its factorization.

3312110022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3312110022100 its reverse (12200112133), we get a palindrome (3324310134233).

The spelling of 3312110022100 in words is "three trillion, three hundred twelve billion, one hundred ten million, twenty-two thousand, one hundred".