3321100021200 has 240 divisors, whose sum is σ = 11466423143616. Its totient is φ = 816825139200.

The previous prime is 3321100021199. The next prime is 3321100021201. The reversal of 3321100021200 is 21200011233.

It is an interprime number because it is at equal distance from previous prime (3321100021199) and next prime (3321100021201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3321100021200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3321100021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321100021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18897735 + ... + 19072665.

Almost surely, 2^{3321100021200} is an apocalyptic number.

3321100021200 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 3321100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733211571808).

3321100021200 is an abundant number, since it is smaller than the sum of its proper divisors (8145323122416).

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

3321100021200 is a wasteful number, since it uses less digits than its factorization.

3321100021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176182 (or 176171 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3321100021200 its reverse (21200011233), we get a palindrome (3342300032433).

The spelling of 3321100021200 in words is "three trillion, three hundred twenty-one billion, one hundred million, twenty-one thousand, two hundred".