101111001111011 has 2 divisors, whose sum is σ = 101111001111012. Its totient is φ = 101111001111010.

The previous prime is 101111001110993. The next prime is 101111001111059. The reversal of 101111001111011 is 110111100111101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101111001111011 - 2¹⁸ = 101111000848867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111001110983 and 101111001111001.

It is not a weakly prime, because it can be changed into another prime (101111001111811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500555505 + 50555500555506.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500555506).

Almost surely, 2^{101111001111011} is an apocalyptic number.

101111001111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111001111011 is an equidigital number, since it uses as much as digits as its factorization.

101111001111011 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 11.

Adding to 101111001111011 its reverse (110111100111101), we get a palindrome (211222101222112).

The spelling of 101111001111011 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred eleven thousand, eleven".