Lucius Hedius Rufus Lollianus Avitus (fl. 2nd century) was a Roman military officer and senator who was elected consul ordinarius in AD 144.
Rufus Lollianus was a member of the gens Hedia Lolliana which probably originated from the region of Liguria. He was the son of Lucius (Hedius Rufus) Lollianus Avitus, who was appointed Suffect consul in AD 114. A noted orator, he was elected to the office of consul in AD 144 alongside Titus Statilius Maximus. This was followed by his appointment as curator operum publicorum (or curator of public works) in AD 146.
Probably in around AD 157/8 Rufus Lollianus was appointed the Proconsular governor of Africa. During his next appointment as Legatus Augusti pro praetore (or imperial governor) of Bithynia et Pontus in AD 159, he was confronted by Lucian about prosecuting Alexander of Abonoteichus; Rufus Lollianus demmured, claiming not only was Lucian's case weak, but that Alexander's patron, Publius Mummius Sisenna Rutilianus, too influential to overcome. Around AD 162, he was assigned a special task when the emperor Lucius Aurelius Verus left for the Parthian campaign.
Rufus Lollianus was a patronus of Helvius Successus, the father of the future emperor Pertinax. He was also an amicus of Marcus Cornelius Fronto. Rufus Lollianus was married to a daughter of Decimus Terentius Gentianus, suffect consul of AD 116, and they had at least two children, Quintus Hedius Rufus Lollianus Gentianus, suffect consul around AD 186-188, and Lucius Hedius Rufus Lollianus, suffect consul before AD 193.