21214040634121 has 2 divisors, whose sum is σ = 21214040634122. Its totient is φ = 21214040634120.

The previous prime is 21214040633899. The next prime is 21214040634161. The reversal of 21214040634121 is 12143604041212.

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., 14672538725625 + 6541501908496 = 3830475^2 + 2557636^2 .

It is a cyclic number.

It is not a de Polignac number, because 21214040634121 - 2¹¹ = 21214040632073 is a prime.

It is a super-2 number, since 2×21214040634121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21214040634161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10607020317060 + 10607020317061.

It is an arithmetic number, because the mean of its divisors is an integer number (10607020317061).

Almost surely, 2^{21214040634121} is an apocalyptic number.

It is an amenable number.

21214040634121 is a deficient number, since it is larger than the sum of its proper divisors (1).

21214040634121 is an equidigital number, since it uses as much as digits as its factorization.

21214040634121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 21214040634121 its reverse (12143604041212), we get a palindrome (33357644675333).

The spelling of 21214040634121 in words is "twenty-one trillion, two hundred fourteen billion, forty million, six hundred thirty-four thousand, one hundred twenty-one".