2003000010112 has 128 divisors (see below), whose sum is σ = 4243206528000. Its totient is φ = 940288849920.

The previous prime is 2003000010107. The next prime is 2003000010161. The reversal of 2003000010112 is 2110100003002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25383583 + ... + 25462369.

It is an arithmetic number, because the mean of its divisors is an integer number (33150051000).

Almost surely, 2^{2003000010112} 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 2003000010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121603264000).

2003000010112 is an abundant number, since it is smaller than the sum of its proper divisors (2240206517888).

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

2003000010112 is a wasteful number, since it uses less digits than its factorization.

2003000010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79024 (or 79012 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 2003000010112 its reverse (2110100003002), we get a palindrome (4113100013114).

The spelling of 2003000010112 in words is "two trillion, three billion, ten thousand, one hundred twelve".