10101100117 has 2 divisors, whose sum is σ = 10101100118. Its totient is φ = 10101100116.

The previous prime is 10101100091. The next prime is 10101100127. The reversal of 10101100117 is 71100110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9838854481 + 262245636 = 99191^2 + 16194^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100117 - 2⁷ = 10101099989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101100097 and 10101100106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101100127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550058 + 5050550059.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550059).

Almost surely, 2^10101100117 is an apocalyptic number.

It is an amenable number.

10101100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100117 is an equidigital number, since it uses as much as digits as its factorization.

10101100117 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 13.

Adding to 10101100117 its reverse (71100110101), we get a palindrome (81201210218).

The spelling of 10101100117 in words is "ten billion, one hundred one million, one hundred thousand, one hundred seventeen".