21111010111011 has 16 divisors (see below), whose sum is σ = 28206018720000. Its totient is φ = 14045007316128.

The previous prime is 21111010111003. The next prime is 21111010111039. The reversal of 21111010111011 is 11011101011112.

It is not a de Polignac number, because 21111010111011 - 2³ = 21111010111003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21111010115011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26671210 + ... + 27451328.

It is an arithmetic number, because the mean of its divisors is an integer number (1762876170000).

Almost surely, 2^{21111010111011} is an apocalyptic number.

21111010111011 is a deficient number, since it is larger than the sum of its proper divisors (7095008608989).

21111010111011 is a wasteful number, since it uses less digits than its factorization.

21111010111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798698.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 21111010111011 its reverse (11011101011112), we get a palindrome (32122111122123).

It can be divided in two parts, 211110101 and 11011, that added together give a palindrome (211121112).

The spelling of 21111010111011 in words is "twenty-one trillion, one hundred eleven billion, ten million, one hundred eleven thousand, eleven".