100111131817 has 2 divisors, whose sum is σ = 100111131818. Its totient is φ = 100111131816.

The previous prime is 100111131773. The next prime is 100111131821. The reversal of 100111131817 is 718131111001.

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., 97209262656 + 2901869161 = 311784^2 + 53869^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111131817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111131791 and 100111131800.

It is not a weakly prime, because it can be changed into another prime (100111132817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055565908 + 50055565909.

It is an arithmetic number, because the mean of its divisors is an integer number (50055565909).

Almost surely, 2^100111131817 is an apocalyptic number.

It is an amenable number.

100111131817 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111131817 is an equidigital number, since it uses as much as digits as its factorization.

100111131817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 25.

Adding to 100111131817 its reverse (718131111001), we get a palindrome (818242242818).

The spelling of 100111131817 in words is "one hundred billion, one hundred eleven million, one hundred thirty-one thousand, eight hundred seventeen".