Twitter is working to keep your accounts secure with new password recovery system and new method to catch suspicious logins. Twitter users can now be alerted through their mobile numbers and email address when a password reset request is sent. You can change your password through Twitter’s website or through the Android or iOS apps.
The microblogging site is also now employing a new way to track any suspicious logins. They now track login history, device used, and location to weed out any potentially suspicious login attempts. If there are any of these fishy logins, you will be alerted through your email.
Source: Twitter Blog