100111120009 has 2 divisors, whose sum is σ = 100111120010. Its totient is φ = 100111120008.

The previous prime is 100111120003. The next prime is 100111120019. The reversal of 100111120009 is 900021111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82295544384 + 17815575625 = 286872^2 + 133475^2 .

It is an emirp because it is prime and its reverse (900021111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111120009 - 2⁹ = 100111119497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111119974 and 100111120001.

It is not a weakly prime, because it can be changed into another prime (100111120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055560004 + 50055560005.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560005).

Almost surely, 2^100111120009 is an apocalyptic number.

It is an amenable number.

100111120009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111120009 is an equidigital number, since it uses as much as digits as its factorization.

100111120009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100111120009 in words is "one hundred billion, one hundred eleven million, one hundred twenty thousand, nine".