apple id account active but can't log into iCloud using same apple id

You can recover gmail account https://support.google.com/accounts/answer/6236295?sjid=9270101673651656821-AP

The mail address say example1@gmail.com was used as an Apple ID and signed in Mac , if it's not erased from iCloud server , but deleted from gmail server .

If the account is permanently erased from gmail server it can't be recovered https://support.google.com/accounts/answer/32046?hl=en

It will show inactive in internet accounts .

This article provides country-specific Apple Support contact information for customers seeking help with their Apple ID password or other security-related issues. ➞ Contact Apple for help with Apple ID account security - Apple Support

I can still log in to this appleid account but I cannot log into web iCloud using my MacBP.

How are you logging in the first time? Can you get access to the data from wherever you're logging in from?

An additional answer , please read it .

The Apple ID created with gmail account say example1@gmail.com was permanently deleted from the gmail server , and if the account was set up with secondary authentication , the administrator can’t sign with iCloud account.

Sign in with rescue mail address in gmail account ( enter the password ) , click on personal info .

Click on edit , and try to add a new trusted number .

And can't further move , the bell icon will shake and stop and if you click on send the code that will go to the old trusted number that is inactive .

Click on more ways to verify , it again prompted to enter rescue mail address and password , Scroll down and click on account recovery icon , then add a new trusted number and click on next , the trusted number will add , the trick was using the rescue mail address that was attached to the primary mail address .