11121120100009 has 2 divisors, whose sum is σ = 11121120100010. Its totient is φ = 11121120100008.

The previous prime is 11121120099997. The next prime is 11121120100073. The reversal of 11121120100009 is 90000102112111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11117456461225 + 3663638784 = 3334285^2 + 60528^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121120100009 - 2²¹ = 11121118002857 is a prime.

It is not a weakly prime, because it can be changed into another prime (11121120100099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560560050004 + 5560560050005.

It is an arithmetic number, because the mean of its divisors is an integer number (5560560050005).

Almost surely, 2^{11121120100009} is an apocalyptic number.

It is an amenable number.

11121120100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121120100009 is an equidigital number, since it uses as much as digits as its factorization.

11121120100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 11121120100009 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty million, one hundred thousand, nine".