21210000010417 has 2 divisors, whose sum is σ = 21210000010418. Its totient is φ = 21210000010416.

The previous prime is 21210000010391. The next prime is 21210000010427. The reversal of 21210000010417 is 71401000001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12308035574961 + 8901964435456 = 3508281^2 + 2983616^2 .

It is a cyclic number.

It is not a de Polignac number, because 21210000010417 - 2³⁵ = 21175640272049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21210000010394 and 21210000010403.

It is not a weakly prime, because it can be changed into another prime (21210000010427) 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, 10605000005208 + 10605000005209.

It is an arithmetic number, because the mean of its divisors is an integer number (10605000005209).

Almost surely, 2^{21210000010417} is an apocalyptic number.

It is an amenable number.

21210000010417 is a deficient number, since it is larger than the sum of its proper divisors (1).

21210000010417 is an equidigital number, since it uses as much as digits as its factorization.

21210000010417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 21210000010417 its reverse (71401000001212), we get a palindrome (92611000011629).

The spelling of 21210000010417 in words is "twenty-one trillion, two hundred ten billion, ten thousand, four hundred seventeen".