2011111110511 has 2 divisors, whose sum is σ = 2011111110512. Its totient is φ = 2011111110510.

The previous prime is 2011111110509. The next prime is 2011111110577. The reversal of 2011111110511 is 1150111111102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2011111110511 - 2¹ = 2011111110509 is a prime.

It is a super-2 number, since 2×2011111110511² (a number of 25 digits) contains 22 as substring.

Together with 2011111110509, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011111110611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005555555255 + 1005555555256.

It is an arithmetic number, because the mean of its divisors is an integer number (1005555555256).

Almost surely, 2^{2011111110511} is an apocalyptic number.

2011111110511 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011111110511 is an equidigital number, since it uses as much as digits as its factorization.

2011111110511 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10, while the sum is 16.

Adding to 2011111110511 its reverse (1150111111102), we get a palindrome (3161222221613).

The spelling of 2011111110511 in words is "two trillion, eleven billion, one hundred eleven million, one hundred ten thousand, five hundred eleven".