The Prophet prohibited celibacy.  

أَنَّ النَّبِيَّ ﷺ نَهَى عَنِ التَّبَتُّلِ  

"The Messenger of Allah refused Uthman bin Ma'zun (when he asked) regarding celibacy, and if he had permitted it for him, then we would have castrated ourselves."  

رَدَّ رَسُولُ اللَّهِ ﷺ عَلَى عُثْمَانَ بْنِ مَظْعُونٍ التَّبَتُّلَ وَلَوْ أَذِنَ لَهُ لاَخْتَصَيْنَا