2001101117 has 2 divisors, whose sum is σ = 2001101118. Its totient is φ = 2001101116.

The previous prime is 2001101101. The next prime is 2001101153. The reversal of 2001101117 is 7111011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1702882756 + 298218361 = 41266^2 + 17269^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001101117 - 2⁴ = 2001101101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001101017) 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, 1000550558 + 1000550559.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550559).

Almost surely, 2^2001101117 is an apocalyptic number.

It is an amenable number.

2001101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001101117 is an equidigital number, since it uses as much as digits as its factorization.

2001101117 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2001101117 is about 44733.6687183155. The cubic root of 2001101117 is about 1260.1522275556.

Adding to 2001101117 its reverse (7111011002), we get a palindrome (9112112119).

The spelling of 2001101117 in words is "two billion, one million, one hundred one thousand, one hundred seventeen".