10001011001117 has 2 divisors, whose sum is σ = 10001011001118. Its totient is φ = 10001011001116.

The previous prime is 10001011001057. The next prime is 10001011001269. The reversal of 10001011001117 is 71110011010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8683506474841 + 1317504526276 = 2946779^2 + 1147826^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001011001117 - 2¹⁰ = 10001011000093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001011001017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505500558 + 5000505500559.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505500559).

Almost surely, 2^{10001011001117} is an apocalyptic number.

It is an amenable number.

10001011001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001011001117 is an equidigital number, since it uses as much as digits as its factorization.

10001011001117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 10001011001117 its reverse (71110011010001), we get a palindrome (81111022011118).

The spelling of 10001011001117 in words is "ten trillion, one billion, eleven million, one thousand, one hundred seventeen".