1001002002112 has 112 divisors (see below), whose sum is σ = 2339399131200. Its totient is φ = 424752384000.

The previous prime is 1001002002073. The next prime is 1001002002113. The reversal of 1001002002112 is 2112002001001.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1001002002113) by changing a digit.

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, 1991412 + ... + 2442892.

Almost surely, 2^{1001002002112} 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 1001002002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169699565600).

1001002002112 is an abundant number, since it is smaller than the sum of its proper divisors (1338397129088).

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

1001002002112 is an equidigital number, since it uses as much as digits as its factorization.

1001002002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451615 (or 451591 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001002002112 its reverse (2112002001001), we get a palindrome (3113004003113).

The spelling of 1001002002112 in words is "one trillion, one billion, two million, two thousand, one hundred twelve".