1011101101117 has 2 divisors, whose sum is σ = 1011101101118. Its totient is φ = 1011101101116.

The previous prime is 1011101101057. The next prime is 1011101101159. The reversal of 1011101101117 is 7111011011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 652744421476 + 358356679641 = 807926^2 + 598629^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011101101117 - 2¹¹ = 1011101099069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011101101117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011101101187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550550558 + 505550550559.

It is an arithmetic number, because the mean of its divisors is an integer number (505550550559).

Almost surely, 2^{1011101101117} is an apocalyptic number.

It is an amenable number.

1011101101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101101117 is an equidigital number, since it uses as much as digits as its factorization.

1011101101117 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 16.

Adding to 1011101101117 its reverse (7111011011101), we get a palindrome (8122112112218).

The spelling of 1011101101117 in words is "one trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred seventeen".