101689117 has 2 divisors, whose sum is σ = 101689118. Its totient is φ = 101689116.

The previous prime is 101689099. The next prime is 101689151. The reversal of 101689117 is 711986101.

It is an a-pointer prime, because the next prime (101689151) can be obtained adding 101689117 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97732996 + 3956121 = 9886^2 + 1989^2 .

It is an emirp because it is prime and its reverse (711986101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101689117 - 2¹⁵ = 101656349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101689157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50844558 + 50844559.

It is an arithmetic number, because the mean of its divisors is an integer number (50844559).

Almost surely, 2^101689117 is an apocalyptic number.

It is an amenable number.

101689117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101689117 is an equidigital number, since it uses as much as digits as its factorization.

101689117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 34.

The square root of 101689117 is about 10084.1021910728. The cubic root of 101689117 is about 466.7577010046.

The spelling of 101689117 in words is "one hundred one million, six hundred eighty-nine thousand, one hundred seventeen".