1000909100117 has 2 divisors, whose sum is σ = 1000909100118. Its totient is φ = 1000909100116.

The previous prime is 1000909100101. The next prime is 1000909100123. The reversal of 1000909100117 is 7110019090001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 932864290801 + 68044809316 = 965849^2 + 260854^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000909100117 - 2⁴ = 1000909100101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000909100117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000909100167) 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, 500454550058 + 500454550059.

It is an arithmetic number, because the mean of its divisors is an integer number (500454550059).

Almost surely, 2^{1000909100117} is an apocalyptic number.

It is an amenable number.

1000909100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000909100117 is an equidigital number, since it uses as much as digits as its factorization.

1000909100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 29.

The spelling of 1000909100117 in words is "one trillion, nine hundred nine million, one hundred thousand, one hundred seventeen".