21111010022321 has 2 divisors, whose sum is σ = 21111010022322. Its totient is φ = 21111010022320.

The previous prime is 21111010022299. The next prime is 21111010022327. The reversal of 21111010022321 is 12322001011112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20781189532321 + 329820490000 = 4558639^2 + 574300^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111010022321 - 2¹⁴ = 21111010005937 is a prime.

It is a super-3 number, since 3×21111010022321³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21111010022321.

It is not a weakly prime, because it can be changed into another prime (21111010022327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555505011160 + 10555505011161.

It is an arithmetic number, because the mean of its divisors is an integer number (10555505011161).

Almost surely, 2^{21111010022321} is an apocalyptic number.

It is an amenable number.

21111010022321 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111010022321 is an equidigital number, since it uses as much as digits as its factorization.

21111010022321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 21111010022321 its reverse (12322001011112), we get a palindrome (33433011033433).

The spelling of 21111010022321 in words is "twenty-one trillion, one hundred eleven billion, ten million, twenty-two thousand, three hundred twenty-one".