101000000000117 has 2 divisors, whose sum is σ = 101000000000118. Its totient is φ = 101000000000116.

The previous prime is 100999999999949. The next prime is 101000000000131. The reversal of 101000000000117 is 711000000000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78449743838596 + 22550256161521 = 8857186^2 + 4748711^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000000000117 is a prime.

101000000000117 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 = 101000000000098 and 101000000000107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000000000917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000000058 + 50500000000059.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000000059).

Almost surely, 2^{101000000000117} is an apocalyptic number.

It is an amenable number.

101000000000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000000000117 is an equidigital number, since it uses as much as digits as its factorization.

101000000000117 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.

Adding to 101000000000117 its reverse (711000000000101), we get a palindrome (812000000000218).

The spelling of 101000000000117 in words is "one hundred one trillion, one hundred seventeen", and thus it is an aban number.