3330012000100 has 72 divisors (see below), whose sum is σ = 7240761202248. Its totient is φ = 1329308467200.

The previous prime is 3330012000083. The next prime is 3330012000103. The reversal of 3330012000100 is 10002100333.

3330012000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 25913272576 + 3304098727524 = 160976^2 + 1817718^2 .

It is a super-2 number, since 2×3330012000100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330012000103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276550080 + ... + 276562120.

It is an arithmetic number, because the mean of its divisors is an integer number (100566127809).

Almost surely, 2^{3330012000100} is an apocalyptic number.

It is an amenable number.

3330012000100 is an abundant number, since it is smaller than the sum of its proper divisors (3910749202148).

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

3330012000100 is a wasteful number, since it uses less digits than its factorization.

3330012000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17425 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 3330012000100 its reverse (10002100333), we get a palindrome (3340014100433).

The spelling of 3330012000100 in words is "three trillion, three hundred thirty billion, twelve million, one hundred", and thus it is an aban number.