1001101111117 has 2 divisors, whose sum is σ = 1001101111118. Its totient is φ = 1001101111116.

The previous prime is 1001101111039. The next prime is 1001101111121. The reversal of 1001101111117 is 7111111011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 907791633961 + 93309477156 = 952781^2 + 305466^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001101111117 - 2³⁵ = 966741372749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001101111117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001102111117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550555558 + 500550555559.

It is an arithmetic number, because the mean of its divisors is an integer number (500550555559).

Almost surely, 2^{1001101111117} is an apocalyptic number.

It is an amenable number.

1001101111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101111117 is an equidigital number, since it uses as much as digits as its factorization.

1001101111117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 1001101111117 its reverse (7111111011001), we get a palindrome (8112212122118).

The spelling of 1001101111117 in words is "one trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred seventeen".