Aweys Faqey, from North London, was arrested at the airport, north-east of London, on 23 May.
He is due to appear at Westminster Magistrates' Court on Tuesday afternoon.
His arrest is not connected to last week's suicide bomb attack at Manchester Arena, Scotland Yard said after he was detained.

The birds, which are native to southern Europe, set up nests by burrowing tunnels in the banks of Low Gelt Quarry, near Brampton.
An RSPB viewpoint on the perimeter of the quarry has attracted more than 1,000 people in two weeks.
The RSPB said all chicks had hatched and would fledge in the next few weeks.
The pairs were discovered by a foreman, who noticed the colourful birds flying among the site's colony of nesting sand martins. They are expected to leave the nest in about four weeks.
Two pairs successfully raised chicks on the Isle of Wight last year and previously in County Durham in 2002.
An RSPB spokesman said they were "delighted" the birds had bred in the UK for a second consecutive summer.
Bee-eaters can burrow up to 10ft (3m) and usually lay clutches of four to nine eggs.

Emma Morano was born on 29 November 1899 in the Piedmont region of Italy. She was officially the last person born in the 1800s still living.
She had attributed her longevity to her genetics and a diet of three eggs a day, two of them raw.
Ms Morano was the oldest of eight siblings, all of whom she has outlived. She died at her home in the northern city of Verbania.
Her life not only spanned three centuries but also survived an abusive marriage, the loss of her only son, two World Wars and more than 90 Italian governments.
Ms Morano had admitted that her longevity was partly down to genetics: her mother reached 91 and several sisters reached their centenary.
But it was also down to a rather unusual diet of three eggs - two raw - each day for more than 90 years.
It was a regime she took up as a young woman, after the doctor diagnosed her with anaemia shortly after World War One.
She had cut down to just two eggs a day, and a few biscuits recently.
Her doctor of 27 years, Carlo Bava, had told AFP news agency that she rarely ate vegetables or fruit.
"When I met her, she ate three eggs per day, two raw in the morning and then an omelette at noon, and chicken at dinner."
Ms Morano also credited her longevity to her decision, in 1938, to kick out her husband - a year after her baby boy died at just six months old.
The marriage had never been healthy, she said. She had been in love with a boy who was killed during World War One, and had no interest in marrying someone else.
But, she told La Stampa newspaper in an interview when she was a spritely 112 that she was left with little choice.
"He told me: 'If you're lucky you marry me, or I'll kill you'. I was 26 years old. I got married."
Eventually, it became too much. Though they separated in 1938, they remained married until he died in 1978. Ms Morano, who worked until she was 75, chose never to marry again.
"I didn't want to be dominated by anyone," she told the New York Times.
She had only taken on a full-time carer a couple of years ago - but had not left her small two-room apartment for 20 years.
According to the US-based Gerontology Research Group (GRG), the world's oldest human being is now Jamaican Violet Brown, who was born on March 10, 1900.
A 37-year-old man has been charged with preparing for acts of terrorism after being arrested at Stansted Airport.
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Visitors have flocked to Cumbria to see two pairs of rare bee-eater birds which set up their home at a quarry.
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The world's oldest person has died in Italy at the age of 117, reports say.