21110121211011 has 16 divisors (see below), whose sum is σ = 32211332601600. Its totient is φ = 12046603087008.

The previous prime is 21110121210953. The next prime is 21110121211097. The reversal of 21110121211011 is 11011212101112.

It is not a de Polignac number, because 21110121211011 - 2³⁰ = 21109047469187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21110121211211) 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, 680122416 + ... + 680153453.

It is an arithmetic number, because the mean of its divisors is an integer number (2013208287600).

Almost surely, 2^{21110121211011} is an apocalyptic number.

21110121211011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21110121211011 is a deficient number, since it is larger than the sum of its proper divisors (11101211390589).

21110121211011 is a wasteful number, since it uses less digits than its factorization.

21110121211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360276618.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 21110121211011 its reverse (11011212101112), we get a palindrome (32121333312123).

It can be divided in two parts, 21110 and 121211011, that added together give a palindrome (121232121).

The spelling of 21110121211011 in words is "twenty-one trillion, one hundred ten billion, one hundred twenty-one million, two hundred eleven thousand, eleven".