2101011011 has 16 divisors (see below), whose sum is σ = 2486036448. Its totient is φ = 1753804800.

The previous prime is 2101010987. The next prime is 2101011047. The reversal of 2101011011 is 1101101012.

It is a happy number.

It is not a de Polignac number, because 2101011011 - 2²⁶ = 2033902147 is a prime.

It is a Duffinian number.

2101011011 is a modest number, since divided by 11011 gives 2101 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2101011011.

It is not an unprimeable number, because it can be changed into a prime (2101011091) 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 15 ways as a sum of consecutive naturals, for example, 129350 + ... + 144683.

It is an arithmetic number, because the mean of its divisors is an integer number (155377278).

Almost surely, 2^2101011011 is an apocalyptic number.

2101011011 is a deficient number, since it is larger than the sum of its proper divisors (385025437).

2101011011 is a wasteful number, since it uses less digits than its factorization.

2101011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274102.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 2101011011 is about 45836.7866565709. The cubic root of 2101011011 is about 1280.7846367193.

Adding to 2101011011 its reverse (1101101012), we get a palindrome (3202112023).

Subtracting from 2101011011 its reverse (1101101012), we obtain a palindrome (999909999).

It can be divided in two parts, 210101 and 1011, that added together give a palindrome (211112).

The spelling of 2101011011 in words is "two billion, one hundred one million, eleven thousand, eleven".