For your question, could you please try to clear your app data and cache to see if you can install your Trend Micro Mobile Security. Please follow the steps below:
Press your device's Home button.
Press your device's Menu button, then select Settings (or System Settings).
Tap Application Manager (or Apps).
Find Mobile Security, then tap the app icon.
Tap Force Stop.
Tap Clear Cache.
If you still have no enough space, we suggest uninstalling the apps you are not using or deleting your videos and photos from your Android device that already backed up in your hard disk to free up the storage.
Please let us know if you were able to resolve your issue by trying the above. If still unsuccessful, please do not hesitate to reply in this conversation, we'll help you further. Thank you!