100011110111009 has 2 divisors, whose sum is σ = 100011110111010. Its totient is φ = 100011110111008.

The previous prime is 100011110110939. The next prime is 100011110111039. The reversal of 100011110111009 is 900111011110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57878392606225 + 42132717504784 = 7607785^2 + 6490972^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011110111009 - 2⁴⁴ = 82418924066593 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011110111039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005555055504 + 50005555055505.

It is an arithmetic number, because the mean of its divisors is an integer number (50005555055505).

Almost surely, 2^{100011110111009} is an apocalyptic number.

It is an amenable number.

100011110111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011110111009 is an equidigital number, since it uses as much as digits as its factorization.

100011110111009 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 17.

The spelling of 100011110111009 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred eleven thousand, nine".