Both heartless and good natured

The great family characteristic of the Stanhopes might probably be said to be heartlessness, but this want of feeling was, in most of them, accompanied by so great an amount of good nature as to make itself but little noticeable to the world. They were so prone to oblige their neighbours that their neighbours failed to perceive how indifferent to them was the happiness and well-being of those around them. The Stanhopes would visit you in your sickness (provided it were not contagious), would bring you oranges, French novels, and the last new bit of scandal, and then hear of your death or your recovery with an equally indifferent composure.

Anthony Trollope, Barchester Towers

I read this paragraph three times when I first encountered it. It was so funny and I couldn't imagine how it could be possible to have two such traits. Then I saw how Trollope fleshed it out in the story and my question was answered.