10211008117 has 2 divisors, whose sum is σ = 10211008118. Its totient is φ = 10211008116.

The previous prime is 10211008111. The next prime is 10211008121. The reversal of 10211008117 is 71180011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7952002276 + 2259005841 = 89174^2 + 47529^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211008117 - 2³ = 10211008109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211008111) 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, 5105504058 + 5105504059.

It is an arithmetic number, because the mean of its divisors is an integer number (5105504059).

Almost surely, 2^10211008117 is an apocalyptic number.

It is an amenable number.

10211008117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211008117 is an equidigital number, since it uses as much as digits as its factorization.

10211008117 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 22.

Adding to 10211008117 its reverse (71180011201), we get a palindrome (81391019318).

The spelling of 10211008117 in words is "ten billion, two hundred eleven million, eight thousand, one hundred seventeen".