2011101101111 has 4 divisors (see below), whose sum is σ = 2011194588312. Its totient is φ = 2011007613912.

The previous prime is 2011101101083. The next prime is 2011101101123. The reversal of 2011101101111 is 1111011011102.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011101101111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011101101092 and 2011101101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011101101131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46711325 + ... + 46754358.

It is an arithmetic number, because the mean of its divisors is an integer number (502798647078).

Almost surely, 2^{2011101101111} is an apocalyptic number.

2011101101111 is a deficient number, since it is larger than the sum of its proper divisors (93487201).

2011101101111 is an equidigital number, since it uses as much as digits as its factorization.

2011101101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93487200.

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

Adding to 2011101101111 its reverse (1111011011102), we get a palindrome (3122112112213).

Subtracting from 2011101101111 its reverse (1111011011102), we obtain a palindrome (900090090009).

The spelling of 2011101101111 in words is "two trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred eleven".