2101112011 has 4 divisors (see below), whose sum is σ = 2101204224. Its totient is φ = 2101019800.

The previous prime is 2101111993. The next prime is 2101112023. The reversal of 2101112011 is 1102111012.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 2101112011 - 2⁹ = 2101111499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101112711) 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 3 ways as a sum of consecutive naturals, for example, 15606 + ... + 66676.

It is an arithmetic number, because the mean of its divisors is an integer number (525301056).

Almost surely, 2^2101112011 is an apocalyptic number.

2101112011 is a deficient number, since it is larger than the sum of its proper divisors (92213).

2101112011 is an equidigital number, since it uses as much as digits as its factorization.

2101112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92212.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 2101112011 is about 45837.8883785019. Note that the first 3 decimals coincide. The cubic root of 2101112011 is about 1280.8051597238.

Adding to 2101112011 its reverse (1102111012), we get a palindrome (3203223023).

Subtracting from 2101112011 its reverse (1102111012), we obtain a palindrome (999000999).

The spelling of 2101112011 in words is "two billion, one hundred one million, one hundred twelve thousand, eleven".