21121122212041 has 2 divisors, whose sum is σ = 21121122212042. Its totient is φ = 21121122212040.

The previous prime is 21121122211979. The next prime is 21121122212093. The reversal of 21121122212041 is 14021222112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12039512040000 + 9081610172041 = 3469800^2 + 3013571^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121122212041 - 2⁹ = 21121122211529 is a prime.

It is a super-2 number, since 2×21121122212041² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21121122218041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560561106020 + 10560561106021.

It is an arithmetic number, because the mean of its divisors is an integer number (10560561106021).

Almost surely, 2^{21121122212041} is an apocalyptic number.

It is an amenable number.

21121122212041 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121122212041 is an equidigital number, since it uses as much as digits as its factorization.

21121122212041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 21121122212041 its reverse (14021222112112), we get a palindrome (35142344324153).

The spelling of 21121122212041 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, forty-one".