101200117 has 2 divisors, whose sum is σ = 101200118. Its totient is φ = 101200116.

The previous prime is 101200109. The next prime is 101200139. The reversal of 101200117 is 711002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80030916 + 21169201 = 8946^2 + 4601^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200117 - 2³ = 101200109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200097 and 101200106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600058 + 50600059.

It is an arithmetic number, because the mean of its divisors is an integer number (50600059).

Almost surely, 2^101200117 is an apocalyptic number.

It is an amenable number.

101200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200117 is an equidigital number, since it uses as much as digits as its factorization.

101200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 101200117 is about 10059.8268871785. The cubic root of 101200117 is about 466.0083210583.

Adding to 101200117 its reverse (711002101), we get a palindrome (812202218).

The spelling of 101200117 in words is "one hundred one million, two hundred thousand, one hundred seventeen".