21101222011321 has 2 divisors, whose sum is σ = 21101222011322. Its totient is φ = 21101222011320.

The previous prime is 21101222011297. The next prime is 21101222011333. The reversal of 21101222011321 is 12311022210112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15369818430096 + 5731403581225 = 3920436^2 + 2394035^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101222011321 - 2¹⁵ = 21101221978553 is a prime.

It is not a weakly prime, because it can be changed into another prime (21101222011391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550611005660 + 10550611005661.

It is an arithmetic number, because the mean of its divisors is an integer number (10550611005661).

Almost surely, 2^{21101222011321} is an apocalyptic number.

It is an amenable number.

21101222011321 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101222011321 is an equidigital number, since it uses as much as digits as its factorization.

21101222011321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 21101222011321 its reverse (12311022210112), we get a palindrome (33412244221433).

The spelling of 21101222011321 in words is "twenty-one trillion, one hundred one billion, two hundred twenty-two million, eleven thousand, three hundred twenty-one".