21211001102321 has 2 divisors, whose sum is σ = 21211001102322. Its totient is φ = 21211001102320.

The previous prime is 21211001102191. The next prime is 21211001102323. The reversal of 21211001102321 is 12320110011212.

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., 14245038547600 + 6965962554721 = 3774260^2 + 2639311^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21211001102321 is a prime.

It is a super-2 number, since 2×21211001102321² (a number of 27 digits) contains 22 as substring.

Together with 21211001102323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21211001102321.

It is not a weakly prime, because it can be changed into another prime (21211001102323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605500551160 + 10605500551161.

It is an arithmetic number, because the mean of its divisors is an integer number (10605500551161).

Almost surely, 2^{21211001102321} is an apocalyptic number.

It is an amenable number.

21211001102321 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211001102321 is an equidigital number, since it uses as much as digits as its factorization.

21211001102321 is an odious number, because the sum of its binary digits is odd.

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

Adding to 21211001102321 its reverse (12320110011212), we get a palindrome (33531111113533).

The spelling of 21211001102321 in words is "twenty-one trillion, two hundred eleven billion, one million, one hundred two thousand, three hundred twenty-one".