111101110100009 has 2 divisors, whose sum is σ = 111101110100010. Its totient is φ = 111101110100008.

The previous prime is 111101110099997. The next prime is 111101110100119. The reversal of 111101110100009 is 900001011101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91532846598400 + 19568263501609 = 9567280^2 + 4423603^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101110100009 - 2²⁰ = 111101109051433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111101110100009.

It is not a weakly prime, because it can be changed into another prime (111101110100209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550555050004 + 55550555050005.

It is an arithmetic number, because the mean of its divisors is an integer number (55550555050005).

Almost surely, 2^{111101110100009} is an apocalyptic number.

It is an amenable number.

111101110100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101110100009 is an equidigital number, since it uses as much as digits as its factorization.

111101110100009 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 111101110100009 in words is "one hundred eleven trillion, one hundred one billion, one hundred ten million, one hundred thousand, nine".