10121200012109 has 2 divisors, whose sum is σ = 10121200012110. Its totient is φ = 10121200012108.

The previous prime is 10121200012073. The next prime is 10121200012129. The reversal of 10121200012109 is 90121000212101.

It is an a-pointer prime, because the next prime (10121200012129) can be obtained adding 10121200012109 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8342652373225 + 1778547638884 = 2888365^2 + 1333622^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121200012109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121200012129) 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, 5060600006054 + 5060600006055.

It is an arithmetic number, because the mean of its divisors is an integer number (5060600006055).

Almost surely, 2^{10121200012109} is an apocalyptic number.

It is an amenable number.

10121200012109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121200012109 is an equidigital number, since it uses as much as digits as its factorization.

10121200012109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10121200012109 in words is "ten trillion, one hundred twenty-one billion, two hundred million, twelve thousand, one hundred nine".