2102110011011 has 4 divisors (see below), whose sum is σ = 2107656475800. Its totient is φ = 2096563546224.

The previous prime is 2102110011007. The next prime is 2102110011031. The reversal of 2102110011011 is 1101100112012.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2102110011011 - 2² = 2102110011007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102110010983 and 2102110011001.

It is not an unprimeable number, because it can be changed into a prime (2102110011031) 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 in 3 ways as a sum of consecutive naturals, for example, 2773231826 + ... + 2773232583.

It is an arithmetic number, because the mean of its divisors is an integer number (526914118950).

Almost surely, 2^{2102110011011} is an apocalyptic number.

2102110011011 is a deficient number, since it is larger than the sum of its proper divisors (5546464789).

2102110011011 is an equidigital number, since it uses as much as digits as its factorization.

2102110011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546464788.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2102110011011 its reverse (1101100112012), we get a palindrome (3203210123023).

It can be divided in two parts, 210211001 and 1011, that added together give a palindrome (210212012).

The spelling of 2102110011011 in words is "two trillion, one hundred two billion, one hundred ten million, eleven thousand, eleven".