100011101109917 has 2 divisors, whose sum is σ = 100011101109918. Its totient is φ = 100011101109916.

The previous prime is 100011101109847. The next prime is 100011101109949. The reversal of 100011101109917 is 719901101110001.

It is an a-pointer prime, because the next prime (100011101109949) can be obtained adding 100011101109917 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97760303039161 + 2250798070756 = 9887381^2 + 1500266^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011101109917 - 2¹⁶ = 100011101044381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011101100917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005550554958 + 50005550554959.

It is an arithmetic number, because the mean of its divisors is an integer number (50005550554959).

Almost surely, 2^{100011101109917} is an apocalyptic number.

It is an amenable number.

100011101109917 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011101109917 is an equidigital number, since it uses as much as digits as its factorization.

100011101109917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 32.

Adding to 100011101109917 its reverse (719901101110001), we get a palindrome (819912202219918).

The spelling of 100011101109917 in words is "one hundred trillion, eleven billion, one hundred one million, one hundred nine thousand, nine hundred seventeen".