3330001122100 has 36 divisors (see below), whose sum is σ = 7475278387500. Its totient is φ = 1286069397760.

The previous prime is 3330001122089. The next prime is 3330001122121. The reversal of 3330001122100 is 12211000333.

It can be written as a sum of positive squares in 6 ways, for example, as 2930273424 + 3327070848676 = 54132^2 + 1824026^2 .

It is a super-2 number, since 2×3330001122100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 574135225 + ... + 574141024.

It is an arithmetic number, because the mean of its divisors is an integer number (207646621875).

Almost surely, 2^{3330001122100} is an apocalyptic number.

It is an amenable number.

3330001122100 is an abundant number, since it is smaller than the sum of its proper divisors (4145277265400).

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

3330001122100 is a wasteful number, since it uses less digits than its factorization.

3330001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148276292 (or 1148276285 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3330001122100 its reverse (12211000333), we get a palindrome (3342212122433).

The spelling of 3330001122100 in words is "three trillion, three hundred thirty billion, one million, one hundred twenty-two thousand, one hundred".