You can use the Context object passed into the lambda handler to get that data.
https://docs.aws.amazon.com/lambda/latest/dg/java-context-object.html
The context object properties are:
getMemoryLimitInMB(): Memory limit, in MB, you configured for the
Lambda function.
getFunctionName(): Name of the Lambda function that is running.
getFunctionVersion(): The Lambda function version that is executing.
If an alias is used to invoke the function, then getFunctionVersion
will be the version the alias points to.
getInvokedFunctionArn(): The ARN used to invoke this function. It can
be function ARN or alias ARN. An unqualified ARN executes the $LATEST
version and aliases execute the function version it is pointing to.