The antonyms for the phrase "rolling about" could be terms like stationary, motionless, static or immobile. These words denote an absence of movement or lack of action, and stand in contrast to the idea of rolling about. Other antonyms could be the opposite of physical activity, such as inactivity or idleness. These words imply a lack of energy or action, and offer an alternative perspective to the notion of rolling about. Overall, antonyms for "rolling about" suggest a sense of stillness, calmness, and consistent levels of energy, behavior or activity.