2011101107111 has 2 divisors, whose sum is σ = 2011101107112. Its totient is φ = 2011101107110.

The previous prime is 2011101107083. The next prime is 2011101107123. The reversal of 2011101107111 is 1117011011102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2011101107111 - 2¹⁴ = 2011101090727 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011101107111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011101167111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005550553555 + 1005550553556.

It is an arithmetic number, because the mean of its divisors is an integer number (1005550553556).

Almost surely, 2^{2011101107111} is an apocalyptic number.

2011101107111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011101107111 is an equidigital number, since it uses as much as digits as its factorization.

2011101107111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 2011101107111 its reverse (1117011011102), we get a palindrome (3128112118213).

The spelling of 2011101107111 in words is "two trillion, eleven billion, one hundred one million, one hundred seven thousand, one hundred eleven".