101110001117 has 2 divisors, whose sum is σ = 101110001118. Its totient is φ = 101110001116.

The previous prime is 101110001087. The next prime is 101110001129. The reversal of 101110001117 is 711100011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94732221796 + 6377779321 = 307786^2 + 79861^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110001117 - 2¹⁶ = 101109935581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110001177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555000558 + 50555000559.

It is an arithmetic number, because the mean of its divisors is an integer number (50555000559).

Almost surely, 2^101110001117 is an apocalyptic number.

It is an amenable number.

101110001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110001117 is an equidigital number, since it uses as much as digits as its factorization.

101110001117 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 14.

Adding to 101110001117 its reverse (711100011101), we get a palindrome (812210012218).

The spelling of 101110001117 in words is "one hundred one billion, one hundred ten million, one thousand, one hundred seventeen".