Change the IP address of the router?

With the cell phone, if you use the SIM card and the mobile phone provider to access the internet, you only have limited internet, depending on the tariff of 1 Gb or more.

In the case of "mobile internet", at least that's what I've heard, the IP address supposedly changes when you go into airplane mode and back out, because it just has to dial in again.

I would like to use the same principle for my notebook at home, which, as usual, has unlimited internet via router and Vodafone tariff.

What I was able to google at first glance, the IP doesn't seem to change a bit if I briefly switch on the airplane mode on the notebook because the IP is connected directly to the router or is possibly even firmly bound to the router. (Yes, I mean the IP that a website sees when I go to it with my laptop)

Now I would like to know if there isn't a quick and dirty way to change the IP in a jiffy with a stationary Internet connection, just like with the cell phone?

If the provider has assigned you a permanent IP, you can't change that.

Why? You could always reconnect in the router, but for what purpose?

Would that change the ip address?

I don't know if he has it, that's why I'm asking.
The manual says
"At the command prompt, enter ipconfig / renew and press

ENTER to get a new IP address "
But when I do that, the IPv6 still doesn't seem to change

Well then you got a fixed IP.

According to ip config I seem to have a dynamic ip: - /

Most likely not. If your router has been assigned a static IPv4 / v6 address by the provider, you will not be able to change it. Even if the router dynamically obtains an address from the provider via DHCP, it is very likely that the provider has a preferred address. If this address is free, your router will grab this IPv4 / v6 address again after a restart.

Regarding your notebook in the comment at @herja:

The command

ipconfig / renew

on a Windows computer, only the IPv4 / v6 address of the home computer is renewed and not that of the router. Here is also the same example as with the router:

If you have assigned yourself a static IPv4 / v6 address in the router settings, your address will not change. Even if the IP address assignment is configured with DHCP, there will very likely be an IPv4 / v6 address that your notebook prefers and, if it is free, will always reserve itself.

The question is anyway why would you want to change your IPv4 / v6 address?

So dynamic ip is according to ipconfig, so it should actually be a static ip. But can I even change it with a cable router?