3311012002100 has 144 divisors (see below), whose sum is σ = 7955749549440. Its totient is φ = 1186055308800.

The previous prime is 3311012002099. The next prime is 3311012002139. The reversal of 3311012002100 is 12002101133.

3311012002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20662889 + ... + 20822511.

It is an arithmetic number, because the mean of its divisors is an integer number (55248260760).

Almost surely, 2^{3311012002100} 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 3311012002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977874774720).

3311012002100 is an abundant number, since it is smaller than the sum of its proper divisors (4644737547340).

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

3311012002100 is a wasteful number, since it uses less digits than its factorization.

3311012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159930 (or 159923 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 3311012002100 its reverse (12002101133), we get a palindrome (3323014103233).

The spelling of 3311012002100 in words is "three trillion, three hundred eleven billion, twelve million, two thousand, one hundred".