10211101100009 has 4 divisors (see below), whose sum is σ = 10240359269700. Its totient is φ = 10181842930320.

The previous prime is 10211101100003. The next prime is 10211101100017. The reversal of 10211101100009 is 90000110111201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7653190273600 + 2557910826409 = 2766440^2 + 1599347^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211101100009 - 2¹⁶ = 10211101034473 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211101100009.

It is not an unprimeable number, because it can be changed into a prime (10211101100003) 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 in 3 ways as a sum of consecutive naturals, for example, 14629084322 + ... + 14629085019.

It is an arithmetic number, because the mean of its divisors is an integer number (2560089817425).

Almost surely, 2^{10211101100009} is an apocalyptic number.

It is an amenable number.

10211101100009 is a deficient number, since it is larger than the sum of its proper divisors (29258169691).

10211101100009 is an equidigital number, since it uses as much as digits as its factorization.

10211101100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29258169690.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 10211101100009 in words is "ten trillion, two hundred eleven billion, one hundred one million, one hundred thousand, nine".