08/27/2012 at 07:00 AM EDT
Barely a day old
, Lorenzo Dominic LaValle is already the talk of New Jersey – and everywhere else, it seems.
"Thank you all for your love and support!! Lorenzo loves you guys already!" the baby boy's mom, Jersey Shore
star Nicole "Snooki" Polizzi wrote on Twitter
late Sunday after messages of congratulations came pouring in throughout the day.
Among the well-wishers was Kendra Wilkinson
, who Tweeted
: "Yayyyy CONGRATS @snooki. Sooo happy for you. Can't wait to see pics of Lorenzo!!!" To which Snooki, 24, replied: "Thanks girl I LOVE him!!"
Snooki's MTV castmates were also stoked by the news. "I Love It This Time A Yearrr When Baby Lorenzo's Here !!!!! Congrats @snooki And @JLaValle !!! #BabyBlowout," Paul "DJ Pauly D" DelVecchio wrote
Added Mike "The Situation" Sorrentino
: "Congrats to Nicole and jionni on their healthy baby boy! All the best!"
Jenni "JWoww" Farley, who stars with Snooki
in the Jersey Shore
spin-off show Snooki & JWoww
"So proud of @snooki and @JLaValle! Lorenzo is the cutest baby I ever seen. Love him already." Snooki replied: "Aw thank you auntie!"
Meanwhile, Lorenzo's dad, Jionni LaValle, reflected on the meaning of the day for him, likening it to glory days past.
"ill never forget old high school memories or the vacations I been on with my boys," he wrote
. "I will also never forget 8/26/12 the day my son was born!"
The love fest ended on a more contemplative note. "Post birth isn't so comfy and glamorous," writes Snooki
. "But my son is FABULOUS."