21114121349 has 2 divisors, whose sum is σ = 21114121350. Its totient is φ = 21114121348.

The previous prime is 21114121339. The next prime is 21114121351. The reversal of 21114121349 is 94312141112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14071890625 + 7042230724 = 118625^2 + 83918^2 .

It is a cyclic number.

It is not a de Polignac number, because 21114121349 - 2¹⁶ = 21114055813 is a prime.

It is a super-2 number, since 2×21114121349² (a number of 21 digits) contains 22 as substring.

Together with 21114121351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21114121339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10557060674 + 10557060675.

It is an arithmetic number, because the mean of its divisors is an integer number (10557060675).

Almost surely, 2^21114121349 is an apocalyptic number.

It is an amenable number.

21114121349 is a deficient number, since it is larger than the sum of its proper divisors (1).

21114121349 is an equidigital number, since it uses as much as digits as its factorization.

21114121349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 29.

The spelling of 21114121349 in words is "twenty-one billion, one hundred fourteen million, one hundred twenty-one thousand, three hundred forty-nine".