101111011111011 has 64 divisors (see below), whose sum is σ = 149936879485440. Its totient is φ = 60097309440000.

The previous prime is 101111011111001. The next prime is 101111011111049. The reversal of 101111011111011 is 110111110111101.

It is not a de Polignac number, because 101111011111011 - 2¹³ = 101111011102819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111011111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594612181 + ... + 594782201.

It is an arithmetic number, because the mean of its divisors is an integer number (2342763741960).

Almost surely, 2^{101111011111011} is an apocalyptic number.

101111011111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111011111011 is a deficient number, since it is larger than the sum of its proper divisors (48825868374429).

101111011111011 is a wasteful number, since it uses less digits than its factorization.

101111011111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171828.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101111011111011 its reverse (110111110111101), we get a palindrome (211222121222112).

It can be divided in two parts, 1011110 and 11111011, that added together give a palindrome (12122121).

The spelling of 101111011111011 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, eleven".