10211006917 has 2 divisors, whose sum is σ = 10211006918. Its totient is φ = 10211006916.

The previous prime is 10211006903. The next prime is 10211006921. The reversal of 10211006917 is 71960011201.

10211006917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5377142241 + 4833864676 = 73329^2 + 69526^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211006917 - 2⁷ = 10211006789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211006947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105503458 + 5105503459.

It is an arithmetic number, because the mean of its divisors is an integer number (5105503459).

Almost surely, 2^10211006917 is an apocalyptic number.

It is an amenable number.

10211006917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211006917 is an equidigital number, since it uses as much as digits as its factorization.

10211006917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 28.

The spelling of 10211006917 in words is "ten billion, two hundred eleven million, six thousand, nine hundred seventeen".