10211100111011 has 2 divisors, whose sum is σ = 10211100111012. Its totient is φ = 10211100111010.

The previous prime is 10211100111001. The next prime is 10211100111059. The reversal of 10211100111011 is 11011100111201.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (11011100111201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10211100111011 - 2¹⁴ = 10211100094627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211100110983 and 10211100111001.

It is not a weakly prime, because it can be changed into another prime (10211100111001) 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, 5105550055505 + 5105550055506.

It is an arithmetic number, because the mean of its divisors is an integer number (5105550055506).

Almost surely, 2^{10211100111011} is an apocalyptic number.

10211100111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211100111011 is an equidigital number, since it uses as much as digits as its factorization.

10211100111011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10211100111011 its reverse (11011100111201), we get a palindrome (21222200222212).

The spelling of 10211100111011 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred eleven thousand, eleven".