2112002002112 has 112 divisors (see below), whose sum is σ = 4323120802560. Its totient is φ = 1023372672000.

The previous prime is 2112002002081. The next prime is 2112002002127.

2112002002112 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 63776663 + ... + 63809769.

It is an arithmetic number, because the mean of its divisors is an integer number (38599292880).

Almost surely, 2^{2112002002112} 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 2112002002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161560401280).

2112002002112 is an abundant number, since it is smaller than the sum of its proper divisors (2211118800448).

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

2112002002112 is a wasteful number, since it uses less digits than its factorization.

2112002002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33430 (or 33420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 2112002002112 in words is "two trillion, one hundred twelve billion, two million, two thousand, one hundred twelve".