100011101101117 has 2 divisors, whose sum is σ = 100011101101118. Its totient is φ = 100011101101116.

The previous prime is 100011101101073. The next prime is 100011101101133. The reversal of 100011101101117 is 711101101110001.

It is an a-pointer prime, because the next prime (100011101101133) can be obtained adding 100011101101117 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90384018716601 + 9627082384516 = 9507051^2 + 3102754^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011101101117 - 2¹¹ = 100011101099069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011101101117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011101101147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005550550558 + 50005550550559.

It is an arithmetic number, because the mean of its divisors is an integer number (50005550550559).

Almost surely, 2^{100011101101117} is an apocalyptic number.

It is an amenable number.

100011101101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011101101117 is an equidigital number, since it uses as much as digits as its factorization.

100011101101117 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 100011101101117 its reverse (711101101110001), we get a palindrome (811112202211118).

The spelling of 100011101101117 in words is "one hundred trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred seventeen".