10011200211109 has 2 divisors, whose sum is σ = 10011200211110. Its totient is φ = 10011200211108.

The previous prime is 10011200210971. The next prime is 10011200211121. The reversal of 10011200211109 is 90111200211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8733780358209 + 1277419852900 = 2955297^2 + 1130230^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011200211109 - 2¹⁹ = 10011199686821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011200211179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005600105554 + 5005600105555.

It is an arithmetic number, because the mean of its divisors is an integer number (5005600105555).

Almost surely, 2^{10011200211109} is an apocalyptic number.

It is an amenable number.

10011200211109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011200211109 is an equidigital number, since it uses as much as digits as its factorization.

10011200211109 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10011200211109 in words is "ten trillion, eleven billion, two hundred million, two hundred eleven thousand, one hundred nine".