20111000000011 has 2 divisors, whose sum is σ = 20111000000012. Its totient is φ = 20111000000010.

The previous prime is 20110999999927. The next prime is 20111000000033. The reversal of 20111000000011 is 11000000011102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20111000000011 - 2²⁵ = 20110966445579 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20110999999940 and 20111000000003.

It is not a weakly prime, because it can be changed into another prime (20111000010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055500000005 + 10055500000006.

It is an arithmetic number, because the mean of its divisors is an integer number (10055500000006).

Almost surely, 2^{20111000000011} is an apocalyptic number.

20111000000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

20111000000011 is an equidigital number, since it uses as much as digits as its factorization.

20111000000011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 20111000000011 its reverse (11000000011102), we get a palindrome (31111000011113).

The spelling of 20111000000011 in words is "twenty trillion, one hundred eleven billion, eleven", and thus it is an aban number.