Al-Bayhaqi رحمه الله records in his book Al-Adab, the Chapter on Mercy for the Creation:
Abu Huraira رضي الله عنه reported: I heard the Messenger of Allāh صلى الله عليه وسلم say:باب: في تراحم الخلقChapter on Being Merciful to the creation
Jubair ibn Abdullah رضي الله عنه reported: I heard the Messenger of Allāh صلى الله عليه وسلم say:جَعَلَ اللَّهُ الرَّحْمَةَ مِائَةَ جُزْءٍ، فَأَمْسَكَ عِنْدَهُ تِسْعَةً وَتِسْعِينَ، وَأَنْزَلَ فِي الأَرْضِ جُزْءًا وَاحِدًا، فَمِنْ ذَلِكَ الْجُزْءِ يَتَرَاحَمُ الْخَلْقُ حَتَّى تَرْفَعَ الْفَرَسُ رِجْلَهَا عَنْ وَلَدِهَا خَشْيَةَ أَنْ تُصِيبَهُ
Allah made mercy into one hundred parts, and He has kept ninety-nine parts with himself, and He sent to the creation one part. Because of that one part, the creation has mercy as even the animal lifts its hoof from its young for fear of harming it.
[Sahih Bukhari, Volume 8, Book 73, Number 29]
Jubair ibn Abdullah رضي الله عنه reported: The Prophet صلى الله عليه وسلم said:لا يَرْحَمُ اللَّهُ مَنْ لا يَرْحَمُ النَّاسَAllah does not have mercy upon whoever is not merciful with people.
[Sahih Bukhari, Volume 9, Book 93, Number 473]
Abullah ibn Amr ibn Al-‘As رضي الله عنه reported: The Messenger of Allāh صلى الله عليه وسلم said:مَنْ لا يَرْحَمُ النَّاسَ لا يَرْحَمُهُ اللَّهُWhoever is not merciful with people, then Allah is not merciful with him.
[Sunan At-Tirmidhi, Book 25, Number 1922]
Nu’man ibn Bashir (رضي الله عنه reported: The Messenger of Allāh صلى الله عليه وسلم said:الرَّاحِمُونَ يَرْحَمُهُمُ الرَّحْمَنُ، ارْحَمُوا مَنْ فِي الأَرْضِ يَرْحَمْكُمْ مَنْ فِي السَّمَاءِThe people of mercy will receive mercy from the Most Merciful. Be merciful with those on the earth, and the One above heaven will have mercy upon you.
[Sunan At-Tirmidhi, Book 25, Number 1924]
Abu Huraira رضي الله عنه reported: I heard the Truthful, the Believed, the Companion of this grave (in Medina), Abu Al-Qasim [The Prophet] صلى الله عليه وسلم say:مَثَلُ الْمُؤْمِنِينَ فِي تَرَاحُمِهِمْ وَتَوَادِّهِمْ وَتَوَاصُلِهِمْ كَمَثَلِ الْجَسَدِ، إِذَا اشْتَكَى عُضْوٌ مِنْهُ تَدَاعَى لَهُ سَائِرُ الْجَسَدِ بِالْحُمَّى وَالسَّهَرِThe believers in their mercy, love, and closeness to each other are like a body. If one part of the body is harmed, the whole body responds with fever and sleeplessness.
[Sahih Muslim, Book 032, Number 6258]
لا تُنْزَعُ الرَّحْمَةُ إِلاَّ مِنْ شَقِيٍّMercy is not removed except from one who is damned.
[Sunan At-Tirmidhi, Book 25, Number 1924]