100001102017 has 2 divisors, whose sum is σ = 100001102018. Its totient is φ = 100001102016.

The previous prime is 100001101997. The next prime is 100001102051. The reversal of 100001102017 is 710201100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62335608241 + 37665493776 = 249671^2 + 194076^2 .

It is an emirp because it is prime and its reverse (710201100001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001102017 is a prime.

It is a super-2 number, since 2×100001102017² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001101988 and 100001102006.

It is not a weakly prime, because it can be changed into another prime (100001102087) 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, 50000551008 + 50000551009.

It is an arithmetic number, because the mean of its divisors is an integer number (50000551009).

Almost surely, 2^100001102017 is an apocalyptic number.

It is an amenable number.

100001102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001102017 is an equidigital number, since it uses as much as digits as its factorization.

100001102017 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 13.

Adding to 100001102017 its reverse (710201100001), we get a palindrome (810202202018).

The spelling of 100001102017 in words is "one hundred billion, one million, one hundred two thousand, seventeen".