10100111110009 has 2 divisors, whose sum is σ = 10100111110010. Its totient is φ = 10100111110008.

The previous prime is 10100111110007. The next prime is 10100111110043. The reversal of 10100111110009 is 90001111100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7822341954025 + 2277769155984 = 2796845^2 + 1509228^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111110009 - 2¹ = 10100111110007 is a prime.

Together with 10100111110007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10100111109974 and 10100111110001.

It is not a weakly prime, because it can be changed into another prime (10100111110007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055555004 + 5050055555005.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055555005).

Almost surely, 2^{10100111110009} is an apocalyptic number.

It is an amenable number.

10100111110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111110009 is an equidigital number, since it uses as much as digits as its factorization.

10100111110009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 10100111110009 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred ten thousand, nine".