1100001011117 has 2 divisors, whose sum is σ = 1100001011118. Its totient is φ = 1100001011116.

The previous prime is 1100001011089. The next prime is 1100001011177. The reversal of 1100001011117 is 7111101000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1099448714116 + 552297001 = 1048546^2 + 23501^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100001011117 - 2²⁸ = 1099732575661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100001011177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550000505558 + 550000505559.

It is an arithmetic number, because the mean of its divisors is an integer number (550000505559).

Almost surely, 2^{1100001011117} is an apocalyptic number.

It is an amenable number.

1100001011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100001011117 is an equidigital number, since it uses as much as digits as its factorization.

1100001011117 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 14.

Adding to 1100001011117 its reverse (7111101000011), we get a palindrome (8211102011128).

The spelling of 1100001011117 in words is "one trillion, one hundred billion, one million, eleven thousand, one hundred seventeen".