ping (ICMP protocol) and ssh are two different protocols.
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It could be that ssh service is not running or not installed
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firewall restriction (local to server like iptables or even sshd config lock down ) or (external firewall that protects incomming traffic to network hosting 111.111.111.111)
First check is to see if ssh port is up
nc -v -w 1 111.111.111.111 -z 22
if it succeeds then ssh should communicate if not then it will never work until restriction is lifted or ssh is started