10051101110009 has 2 divisors, whose sum is σ = 10051101110010. Its totient is φ = 10051101110008.

The previous prime is 10051101109999. The next prime is 10051101110027. The reversal of 10051101110009 is 90001110115001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8806531056400 + 1244570053609 = 2967580^2 + 1115603^2 .

It is a cyclic number.

It is not a de Polignac number, because 10051101110009 - 2¹⁶ = 10051101044473 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10051101110059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5025550555004 + 5025550555005.

It is an arithmetic number, because the mean of its divisors is an integer number (5025550555005).

Almost surely, 2^{10051101110009} is an apocalyptic number.

It is an amenable number.

10051101110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10051101110009 is an equidigital number, since it uses as much as digits as its factorization.

10051101110009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 20.

The spelling of 10051101110009 in words is "ten trillion, fifty-one billion, one hundred one million, one hundred ten thousand, nine".