2011101020111 has 4 divisors (see below), whose sum is σ = 2011825222032. Its totient is φ = 2010376818192.

The previous prime is 2011101020099. The next prime is 2011101020143. The reversal of 2011101020111 is 1110201011102.

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-2011101020111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011101020092 and 2011101020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011101020011) 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, 362096795 + ... + 362102348.

It is an arithmetic number, because the mean of its divisors is an integer number (502956305508).

Almost surely, 2^{2011101020111} is an apocalyptic number.

2011101020111 is a deficient number, since it is larger than the sum of its proper divisors (724201921).

2011101020111 is an equidigital number, since it uses as much as digits as its factorization.

2011101020111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724201920.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2011101020111 its reverse (1110201011102), we get a palindrome (3121302031213).

Subtracting from 2011101020111 its reverse (1110201011102), we obtain a palindrome (900900009009).

It can be divided in two parts, 201110 and 1020111, that added together give a palindrome (1221221).

The spelling of 2011101020111 in words is "two trillion, eleven billion, one hundred one million, twenty thousand, one hundred eleven".