3003003102100 has 144 divisors (see below), whose sum is σ = 7083945817200. Its totient is φ = 1100500172800.

The previous prime is 3003003102019. The next prime is 3003003102119. The reversal of 3003003102100 is 12013003003.

It can be written as a sum of positive squares in 24 ways, for example, as 2145908571664 + 857094530436 = 1464892^2 + 925794^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31247322 + ... + 31343278.

It is an arithmetic number, because the mean of its divisors is an integer number (49194068175).

Almost surely, 2^{3003003102100} 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 3003003102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541972908600).

3003003102100 is an abundant number, since it is smaller than the sum of its proper divisors (4080942715100).

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

3003003102100 is a wasteful number, since it uses less digits than its factorization.

3003003102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96478 (or 96471 counting only the distinct ones).

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

Adding to 3003003102100 its reverse (12013003003), we get a palindrome (3015016105103).

The spelling of 3003003102100 in words is "three trillion, three billion, three million, one hundred two thousand, one hundred".