101040010117 has 2 divisors, whose sum is σ = 101040010118. Its totient is φ = 101040010116.

The previous prime is 101040010081. The next prime is 101040010121. The reversal of 101040010117 is 711010040101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94883096961 + 6156913156 = 308031^2 + 78466^2 .

It is a cyclic number.

It is not a de Polignac number, because 101040010117 - 2²⁷ = 100905792389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101040010117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101040010417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520005058 + 50520005059.

It is an arithmetic number, because the mean of its divisors is an integer number (50520005059).

Almost surely, 2^101040010117 is an apocalyptic number.

It is an amenable number.

101040010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101040010117 is an equidigital number, since it uses as much as digits as its factorization.

101040010117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 101040010117 its reverse (711010040101), we get a palindrome (812050050218).

The spelling of 101040010117 in words is "one hundred one billion, forty million, ten thousand, one hundred seventeen".