21214002012241 has 2 divisors, whose sum is σ = 21214002012242. Its totient is φ = 21214002012240.

The previous prime is 21214002012233. The next prime is 21214002012257. The reversal of 21214002012241 is 14221020041212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19201959056016 + 2012042956225 = 4382004^2 + 1418465^2 .

It is a cyclic number.

It is not a de Polignac number, because 21214002012241 - 2³ = 21214002012233 is a prime.

It is a super-2 number, since 2×21214002012241² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21214002012211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10607001006120 + 10607001006121.

It is an arithmetic number, because the mean of its divisors is an integer number (10607001006121).

Almost surely, 2^{21214002012241} is an apocalyptic number.

It is an amenable number.

21214002012241 is a deficient number, since it is larger than the sum of its proper divisors (1).

21214002012241 is an equidigital number, since it uses as much as digits as its factorization.

21214002012241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 21214002012241 its reverse (14221020041212), we get a palindrome (35435022053453).

The spelling of 21214002012241 in words is "twenty-one trillion, two hundred fourteen billion, two million, twelve thousand, two hundred forty-one".