101000011115117 has 2 divisors, whose sum is σ = 101000011115118. Its totient is φ = 101000011115116.

The previous prime is 101000011115077. The next prime is 101000011115119. The reversal of 101000011115117 is 711511110000101.

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., 59300072027716 + 41699939087401 = 7700654^2 + 6457549^2 .

It is an emirp because it is prime and its reverse (711511110000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000011115117 - 2¹⁴ = 101000011098733 is a prime.

Together with 101000011115119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000011115119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005557558 + 50500005557559.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005557559).

Almost surely, 2^{101000011115117} is an apocalyptic number.

It is an amenable number.

101000011115117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000011115117 is an equidigital number, since it uses as much as digits as its factorization.

101000011115117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 20.

Adding to 101000011115117 its reverse (711511110000101), we get a palindrome (812511121115218).

The spelling of 101000011115117 in words is "one hundred one trillion, eleven million, one hundred fifteen thousand, one hundred seventeen".