101111011011011 has 2 divisors, whose sum is σ = 101111011011012. Its totient is φ = 101111011011010.

The previous prime is 101111011010923. The next prime is 101111011011019. The reversal of 101111011011011 is 110110110111101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111011011011 - 2¹⁴ = 101111010994627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111011010983 and 101111011011001.

It is not a weakly prime, because it can be changed into another prime (101111011011019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555505505505 + 50555505505506.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505505506).

Almost surely, 2^{101111011011011} is an apocalyptic number.

101111011011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111011011011 is an equidigital number, since it uses as much as digits as its factorization.

101111011011011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101111011011011 its reverse (110110110111101), we get a palindrome (211221121122112).

The spelling of 101111011011011 in words is "one hundred one trillion, one hundred eleven billion, eleven million, eleven thousand, eleven".