2101100317 has 2 divisors, whose sum is σ = 2101100318. Its totient is φ = 2101100316.

The previous prime is 2101100297. The next prime is 2101100321. The reversal of 2101100317 is 7130011012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1160696761 + 940403556 = 34069^2 + 30666^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101100317 - 2¹¹ = 2101098269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2101100317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101100387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550158 + 1050550159.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550159).

Almost surely, 2^2101100317 is an apocalyptic number.

It is an amenable number.

2101100317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101100317 is an equidigital number, since it uses as much as digits as its factorization.

2101100317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 2101100317 is about 45837.7608200924. The cubic root of 2101100317 is about 1280.8027835593.

Adding to 2101100317 its reverse (7130011012), we get a palindrome (9231111329).

The spelling of 2101100317 in words is "two billion, one hundred one million, one hundred thousand, three hundred seventeen".