1000001101117 has 2 divisors, whose sum is σ = 1000001101118. Its totient is φ = 1000001101116.

The previous prime is 1000001101097. The next prime is 1000001101129. The reversal of 1000001101117 is 7111011000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 818103969081 + 181897132036 = 904491^2 + 426494^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000001101117 - 2³⁹ = 450245287229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000001101097 and 1000001101106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000001101817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500000550558 + 500000550559.

It is an arithmetic number, because the mean of its divisors is an integer number (500000550559).

Almost surely, 2^{1000001101117} is an apocalyptic number.

It is an amenable number.

1000001101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000001101117 is an equidigital number, since it uses as much as digits as its factorization.

1000001101117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 1000001101117 its reverse (7111011000001), we get a palindrome (8111012101118).

The spelling of 1000001101117 in words is "one trillion, one million, one hundred one thousand, one hundred seventeen".