10211100110009 has 2 divisors, whose sum is σ = 10211100110010. Its totient is φ = 10211100110008.

The previous prime is 10211100109967. The next prime is 10211100110021. The reversal of 10211100110009 is 90001100111201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9999635328400 + 211464781609 = 3162220^2 + 459853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211100110009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211100113009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105550055004 + 5105550055005.

It is an arithmetic number, because the mean of its divisors is an integer number (5105550055005).

Almost surely, 2^{10211100110009} is an apocalyptic number.

It is an amenable number.

10211100110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211100110009 is an equidigital number, since it uses as much as digits as its factorization.

10211100110009 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10211100110009 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred ten thousand, nine".