3331211121100 has 72 divisors (see below), whose sum is σ = 7251880381200. Its totient is φ = 1328219566080.

The previous prime is 3331211121047. The next prime is 3331211121101. The reversal of 3331211121100 is 11211121333.

It is a super-2 number, since 2×3331211121100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331211121101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 104577976 + ... + 104609824.

It is an arithmetic number, because the mean of its divisors is an integer number (100720560850).

Almost surely, 2^{3331211121100} is an apocalyptic number.

It is an amenable number.

3331211121100 is an abundant number, since it is smaller than the sum of its proper divisors (3920669260100).

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

3331211121100 is a wasteful number, since it uses less digits than its factorization.

3331211121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35179 (or 35172 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 3331211121100 its reverse (11211121333), we get a palindrome (3342422242433).

The spelling of 3331211121100 in words is "three trillion, three hundred thirty-one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".