1001089110112 has 96 divisors (see below), whose sum is σ = 2431480693824. Its totient is φ = 395094067200.

The previous prime is 1001089110097. The next prime is 1001089110143. The reversal of 1001089110112 is 2110119801001.

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, 817662 + ... + 1634242.

It is an arithmetic number, because the mean of its divisors is an integer number (25327923894).

Almost surely, 2^{1001089110112} 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 1001089110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215740346912).

1001089110112 is an abundant number, since it is smaller than the sum of its proper divisors (1430391583712).

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

1001089110112 is a wasteful number, since it uses less digits than its factorization.

1001089110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817032 (or 817024 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 1001089110112 in words is "one trillion, one billion, eighty-nine million, one hundred ten thousand, one hundred twelve".