21033214232117 has 2 divisors, whose sum is σ = 21033214232118. Its totient is φ = 21033214232116.

The previous prime is 21033214232077. The next prime is 21033214232159. The reversal of 21033214232117 is 71123241233012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16731298532881 + 4301915699236 = 4090391^2 + 2074106^2 .

It is a cyclic number.

It is not a de Polignac number, because 21033214232117 - 2²⁸ = 21032945796661 is a prime.

It is a super-2 number, since 2×21033214232117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21033214232167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10516607116058 + 10516607116059.

It is an arithmetic number, because the mean of its divisors is an integer number (10516607116059).

Almost surely, 2^{21033214232117} is an apocalyptic number.

It is an amenable number.

21033214232117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21033214232117 is an equidigital number, since it uses as much as digits as its factorization.

21033214232117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 21033214232117 its reverse (71123241233012), we get a palindrome (92156455465129).

The spelling of 21033214232117 in words is "twenty-one trillion, thirty-three billion, two hundred fourteen million, two hundred thirty-two thousand, one hundred seventeen".