21212101122133 has 2 divisors, whose sum is σ = 21212101122134. Its totient is φ = 21212101122132.

The previous prime is 21212101122109. The next prime is 21212101122167. The reversal of 21212101122133 is 33122110121212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20411537875569 + 800563246564 = 4517913^2 + 894742^2 .

It is a cyclic number.

It is not a de Polignac number, because 21212101122133 - 2¹³ = 21212101113941 is a prime.

It is a super-3 number, since 3×21212101122133³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21212107122133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606050561066 + 10606050561067.

It is an arithmetic number, because the mean of its divisors is an integer number (10606050561067).

Almost surely, 2^{21212101122133} is an apocalyptic number.

It is an amenable number.

21212101122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21212101122133 is an equidigital number, since it uses as much as digits as its factorization.

21212101122133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 21212101122133 its reverse (33122110121212), we get a palindrome (54334211243345).

The spelling of 21212101122133 in words is "twenty-one trillion, two hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred thirty-three".