21201110012011 has 32 divisors (see below), whose sum is σ = 23129370316800. Its totient is φ = 19359326384640.

The previous prime is 21201110011987. The next prime is 21201110012039. The reversal of 21201110012011 is 11021001110212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21201110012011 - 2⁵ = 21201110011979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21201110011982 and 21201110012000.

It is not an unprimeable number, because it can be changed into a prime (21201110012041) 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 in 31 ways as a sum of consecutive naturals, for example, 913474975 + ... + 913498183.

It is an arithmetic number, because the mean of its divisors is an integer number (722792822400).

Almost surely, 2^{21201110012011} is an apocalyptic number.

21201110012011 is a deficient number, since it is larger than the sum of its proper divisors (1928260304789).

21201110012011 is a wasteful number, since it uses less digits than its factorization.

21201110012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29419.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21201110012011 its reverse (11021001110212), we get a palindrome (32222111122223).

The spelling of 21201110012011 in words is "twenty-one trillion, two hundred one billion, one hundred ten million, twelve thousand, eleven".