101816311117 has 2 divisors, whose sum is σ = 101816311118. Its totient is φ = 101816311116.

The previous prime is 101816311111. The next prime is 101816311147. The reversal of 101816311117 is 711113618101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101774398441 + 41912676 = 319021^2 + 6474^2 .

It is a cyclic number.

It is not a de Polignac number, because 101816311117 - 2⁷ = 101816310989 is a prime.

It is a super-2 number, since 2×101816311117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101816311111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50908155558 + 50908155559.

It is an arithmetic number, because the mean of its divisors is an integer number (50908155559).

Almost surely, 2^101816311117 is an apocalyptic number.

It is an amenable number.

101816311117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101816311117 is an equidigital number, since it uses as much as digits as its factorization.

101816311117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 31.

Adding to 101816311117 its reverse (711113618101), we get a palindrome (812929929218).

The spelling of 101816311117 in words is "one hundred one billion, eight hundred sixteen million, three hundred eleven thousand, one hundred seventeen".