1001100002117 has 2 divisors, whose sum is σ = 1001100002118. Its totient is φ = 1001100002116.

The previous prime is 1001100002093. The next prime is 1001100002137. The reversal of 1001100002117 is 7112000011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 919961049316 + 81138952801 = 959146^2 + 284849^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100002117 - 2⁸ = 1001100001861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001100002137) 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, 500550001058 + 500550001059.

It is an arithmetic number, because the mean of its divisors is an integer number (500550001059).

Almost surely, 2^{1001100002117} is an apocalyptic number.

It is an amenable number.

1001100002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100002117 is an equidigital number, since it uses as much as digits as its factorization.

1001100002117 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.

Adding to 1001100002117 its reverse (7112000011001), we get a palindrome (8113100013118).

The spelling of 1001100002117 in words is "one trillion, one billion, one hundred million, two thousand, one hundred seventeen".