21122121110201 has 2 divisors, whose sum is σ = 21122121110202. Its totient is φ = 21122121110200.

The previous prime is 21122121110149. The next prime is 21122121110203. The reversal of 21122121110201 is 10201112122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20455032380176 + 667088730025 = 4522724^2 + 816755^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122121110201 - 2¹⁸ = 21122120848057 is a prime.

It is a super-2 number, since 2×21122121110201² (a number of 27 digits) contains 22 as substring.

Together with 21122121110203, 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 21122121110201.

It is not a weakly prime, because it can be changed into another prime (21122121110203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561060555100 + 10561060555101.

It is an arithmetic number, because the mean of its divisors is an integer number (10561060555101).

Almost surely, 2^{21122121110201} is an apocalyptic number.

It is an amenable number.

21122121110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122121110201 is an equidigital number, since it uses as much as digits as its factorization.

21122121110201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21122121110201 its reverse (10201112122112), we get a palindrome (31323233232313).

The spelling of 21122121110201 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, two hundred one".