All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.
We have not come across the narration that is mentioned in the question in the books of Sunnah, and the signs of lies clearly appear on it. How could it be possible that Abu Bakr would ask Allaah to punish him in Hellfire in order that the Muslim nation will be saved from it, while he knows that entering Hellfire means that Allaah is angry with the person and he knows that a person who will be among the dwellers of Hellfire would wish, on the Day of Judgement, to ransom himself from the punishment by all the people of the earth? Abu Bakr did not embrace Islam except in order to save himself from Hellfire. So the narration in question is clearly fabricated and Abu Bakr is well-known for his excellence. There is no need to invent lies to prove his excellence and superiority, and his mercy on this nation. There is absolutely no person who would wish to enter Hellfire in order to save others from it. Allaah described the Prophet as merciful but he used to seek refuge in Allaah from Hellfire as he said: "O Allaah, I seek refuge in You from the punishment of the grave and from the torment of the Fire…" [Al-Bukhari and Muslim]
Allaah Knows best.