101000117 has 2 divisors, whose sum is σ = 101000118. Its totient is φ = 101000116.

The previous prime is 101000113. The next prime is 101000161. The reversal of 101000117 is 711000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80442961 + 20557156 = 8969^2 + 4534^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000117 - 2² = 101000113 is a prime.

101000117 is a modest number, since divided by 117 gives 101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101000098 and 101000107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500058 + 50500059.

It is an arithmetic number, because the mean of its divisors is an integer number (50500059).

Almost surely, 2^101000117 is an apocalyptic number.

It is an amenable number.

101000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000117 is an equidigital number, since it uses as much as digits as its factorization.

101000117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 11.

The square root of 101000117 is about 10049.8814420868. The cubic root of 101000117 is about 465.7011306054.

Adding to 101000117 its reverse (711000101), we get a palindrome (812000218).

The spelling of 101000117 in words is "one hundred one million, one hundred seventeen", and thus it is an aban number.