101111111111011 has 2 divisors, whose sum is σ = 101111111111012. Its totient is φ = 101111111111010.

The previous prime is 101111111110957. The next prime is 101111111111063. The reversal of 101111111111011 is 110111111111101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111111111011 - 2²⁵ = 101111077556579 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111111110982 and 101111111111000.

It is not a weakly prime, because it can be changed into another prime (101111111111711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555555505 + 50555555555506.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555555506).

Almost surely, 2^{101111111111011} is an apocalyptic number.

101111111111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111111111011 is an equidigital number, since it uses as much as digits as its factorization.

101111111111011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 101111111111011 its reverse (110111111111101), we get a palindrome (211222222222112).

The spelling of 101111111111011 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, eleven".