101101011111011 has 16 divisors (see below), whose sum is σ = 102634224940800. Its totient is φ = 99575630154528.

The previous prime is 101101011110987. The next prime is 101101011111013. The reversal of 101101011111011 is 110111110101101.

It is a cyclic number.

It is not a de Polignac number, because 101101011111011 - 2⁶ = 101101011110947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101011110983 and 101101011111001.

It is not an unprimeable number, because it can be changed into a prime (101101011111013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49317785 + ... + 51326853.

It is an arithmetic number, because the mean of its divisors is an integer number (6414639058800).

Almost surely, 2^{101101011111011} is an apocalyptic number.

101101011111011 is a deficient number, since it is larger than the sum of its proper divisors (1533213829789).

101101011111011 is a wasteful number, since it uses less digits than its factorization.

101101011111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011018.

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

Adding to 101101011111011 its reverse (110111110101101), we get a palindrome (211212121212112).

The spelling of 101101011111011 in words is "one hundred one trillion, one hundred one billion, eleven million, one hundred eleven thousand, eleven".