2011100011101 has 24 divisors (see below), whose sum is σ = 3126222982584. Its totient is φ = 1241180328960.

The previous prime is 2011100011093. The next prime is 2011100011121. The reversal of 2011100011101 is 1011100011102.

It can be written as a sum of positive squares in 4 ways, for example, as 260890079076 + 1750209932025 = 510774^2 + 1322955^2 .

It is not a de Polignac number, because 2011100011101 - 2³ = 2011100011093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011100011121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107732016 + ... + 107750681.

It is an arithmetic number, because the mean of its divisors is an integer number (130259290941).

Almost surely, 2^{2011100011101} is an apocalyptic number.

It is an amenable number.

2011100011101 is a deficient number, since it is larger than the sum of its proper divisors (1115122971483).

2011100011101 is a wasteful number, since it uses less digits than its factorization.

2011100011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215482781 (or 215482778 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2011100011101 its reverse (1011100011102), we get a palindrome (3022200022203).

Subtracting from 2011100011101 its reverse (1011100011102), we obtain a palindrome (999999999999).

It can be divided in two parts, 201110001 and 1101, that added together give a palindrome (201111102).

The spelling of 2011100011101 in words is "two trillion, eleven billion, one hundred million, eleven thousand, one hundred one".