2112033000321 has 48 divisors (see below), whose sum is σ = 3343581493200. Its totient is φ = 1278724091904.

The previous prime is 2112033000313. The next prime is 2112033000353. The reversal of 2112033000321 is 1230003302112.

2112033000321 is a `hidden beast` number, since 2 + 1 + 12 + 0 + 330 + 0 + 0 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9822990321 + 2102210010000 = 99111^2 + 1449900^2 .

It is not a de Polignac number, because 2112033000321 - 2³ = 2112033000313 is a prime.

It is a super-3 number, since 3×2112033000321³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2112033000294 and 2112033000303.

It is not an unprimeable number, because it can be changed into a prime (2112033000391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7208475 + ... + 7495743.

It is an arithmetic number, because the mean of its divisors is an integer number (69657947775).

Almost surely, 2^{2112033000321} is an apocalyptic number.

It is an amenable number.

2112033000321 is a deficient number, since it is larger than the sum of its proper divisors (1231548492879).

2112033000321 is a wasteful number, since it uses less digits than its factorization.

2112033000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288978 (or 288975 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2112033000321 its reverse (1230003302112), we get a palindrome (3342036302433).

The spelling of 2112033000321 in words is "two trillion, one hundred twelve billion, thirty-three million, three hundred twenty-one", and thus it is an aban number.