10000111110001 has 2 divisors, whose sum is σ = 10000111110002. Its totient is φ = 10000111110000.

The previous prime is 10000111109999. The next prime is 10000111110043. The reversal of 10000111110001 is 10001111100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9176046581601 + 824064528400 = 3029199^2 + 907780^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000111110001 - 2¹ = 10000111109999 is a prime.

Together with 10000111109999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10000111120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055555000 + 5000055555001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055555001).

Almost surely, 2^{10000111110001} is an apocalyptic number.

It is an amenable number.

10000111110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111110001 is an equidigital number, since it uses as much as digits as its factorization.

10000111110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10000111110001 its reverse (10001111100001), we get a palindrome (20001222210002).

The spelling of 10000111110001 in words is "ten trillion, one hundred eleven million, one hundred ten thousand, one".