211222201110121 has 2 divisors, whose sum is σ = 211222201110122. Its totient is φ = 211222201110120.

The previous prime is 211222201110101. The next prime is 211222201110139. The reversal of 211222201110121 is 121011102222112.

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., 209722849839721 + 1499351270400 = 14481811^2 + 1224480^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222201110121 - 2²⁷ = 211222066892393 is a prime.

It is a super-3 number, since 3×211222201110121³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (211222201110101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611100555060 + 105611100555061.

It is an arithmetic number, because the mean of its divisors is an integer number (105611100555061).

Almost surely, 2^{211222201110121} is an apocalyptic number.

It is an amenable number.

211222201110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222201110121 is an equidigital number, since it uses as much as digits as its factorization.

211222201110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211222201110121 its reverse (121011102222112), we get a palindrome (332233303332233).

The spelling of 211222201110121 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred one million, one hundred ten thousand, one hundred twenty-one".