Datyner settled in Łódź and began practising medicine in the mid-1920s.
After the outbreak of the Second World War, in October 1939, the family was forced out of their apartment at 59 Zachodnia and moved to 27 Andrzeja. In March 1940, they were pushed into the Łódź Ghetto. Their son left for England in 1938 to study and survived the war.
In the ghetto, Datyner and his wife initially lived at 21 Zgierska, then at 34 Drewnowska. He worked as a doctor in the Health Department (vide), and, after the hospitals were shut down, he was assigned to an outpatient clinic in the Cap Department (vide). In August 1944, he and his wife were deported to Auschwitz-Birkenau, where they were murdered.