2011011101 has 16 divisors (see below), whose sum is σ = 2225760768. Its totient is φ = 1801752000.

The previous prime is 2011011077. The next prime is 2011011109. The reversal of 2011011101 is 1011101102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2011011101 - 2¹⁰ = 2011010077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011011109) 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, 243695 + ... + 251811.

It is an arithmetic number, because the mean of its divisors is an integer number (139110048).

Almost surely, 2^2011011101 is an apocalyptic number.

It is an amenable number.

2011011101 is a deficient number, since it is larger than the sum of its proper divisors (214749667).

2011011101 is a wasteful number, since it uses less digits than its factorization.

2011011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452.

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

The square root of 2011011101 is about 44844.2984224305. The cubic root of 2011011101 is about 1262.2290058620.

Adding to 2011011101 its reverse (1011101102), we get a palindrome (3022112203).

Subtracting from 2011011101 its reverse (1011101102), we obtain a palindrome (999909999).

It can be divided in two parts, 201101 and 1101, that added together give a palindrome (202202).

The spelling of 2011011101 in words is "two billion, eleven million, eleven thousand, one hundred one".