21323122122101 has 2 divisors, whose sum is σ = 21323122122102. Its totient is φ = 21323122122100.

The previous prime is 21323122122089. The next prime is 21323122122103. The reversal of 21323122122101 is 10122122132312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14664296701201 + 6658825420900 = 3829399^2 + 2580470^2 .

It is a cyclic number.

It is not a de Polignac number, because 21323122122101 - 2²⁶ = 21323055013237 is a prime.

Together with 21323122122103, 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 (21323122122103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10661561061050 + 10661561061051.

It is an arithmetic number, because the mean of its divisors is an integer number (10661561061051).

Almost surely, 2^{21323122122101} is an apocalyptic number.

It is an amenable number.

21323122122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21323122122101 is an equidigital number, since it uses as much as digits as its factorization.

21323122122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 21323122122101 its reverse (10122122132312), we get a palindrome (31445244254413).

The spelling of 21323122122101 in words is "twenty-one trillion, three hundred twenty-three billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".