ping (ICMP protocol) and ssh are two different protocols.
It could be that ssh service is not running or not installed
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
