2011011111101 has 8 divisors (see below), whose sum is σ = 2014528629120. Its totient is φ = 2007495165312.

The previous prime is 2011011111079. The next prime is 2011011111143. The reversal of 2011011111101 is 1011111101102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011011111101 - 2¹⁴ = 2011011094717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011011111181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2182070 + ... + 2963688.

It is an arithmetic number, because the mean of its divisors is an integer number (251816078640).

Almost surely, 2^{2011011111101} is an apocalyptic number.

It is an amenable number.

2011011111101 is a deficient number, since it is larger than the sum of its proper divisors (3517518019).

2011011111101 is an equidigital number, since it uses as much as digits as its factorization.

2011011111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786115.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 2011011111101 its reverse (1011111101102), we get a palindrome (3022122212203).

Subtracting from 2011011111101 its reverse (1011111101102), we obtain a palindrome (999900009999).

The spelling of 2011011111101 in words is "two trillion, eleven billion, eleven million, one hundred eleven thousand, one hundred one".