21210000211117 has 2 divisors, whose sum is σ = 21210000211118. Its totient is φ = 21210000211116.

The previous prime is 21210000211087. The next prime is 21210000211151. The reversal of 21210000211117 is 71111200001212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10899697557961 + 10310302653156 = 3301469^2 + 3210966^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21210000211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21210000211094 and 21210000211103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21210000217117) 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, 10605000105558 + 10605000105559.

It is an arithmetic number, because the mean of its divisors is an integer number (10605000105559).

Almost surely, 2^{21210000211117} is an apocalyptic number.

It is an amenable number.

21210000211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21210000211117 is an equidigital number, since it uses as much as digits as its factorization.

21210000211117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 21210000211117 its reverse (71111200001212), we get a palindrome (92321200212329).

The spelling of 21210000211117 in words is "twenty-one trillion, two hundred ten billion, two hundred eleven thousand, one hundred seventeen".