10011101111011 has 96 divisors (see below), whose sum is σ = 13758634391040. Its totient is φ = 7160311872000.

The previous prime is 10011101111009. The next prime is 10011101111017. The reversal of 10011101111011 is 11011110111001.

It is a happy number.

It is not a de Polignac number, because 10011101111011 - 2¹ = 10011101111009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011101111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 944349111 + ... + 944359711.

It is an arithmetic number, because the mean of its divisors is an integer number (143319108240).

Almost surely, 2^{10011101111011} is an apocalyptic number.

10011101111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011101111011 is a deficient number, since it is larger than the sum of its proper divisors (3747533280029).

10011101111011 is a wasteful number, since it uses less digits than its factorization.

10011101111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 11378 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10011101111011 its reverse (11011110111001), we get a palindrome (21022211222012).

It can be divided in two parts, 1001 and 1101111011, that multiplied together give a palindrome (1102212122011).

The spelling of 10011101111011 in words is "ten trillion, eleven billion, one hundred one million, one hundred eleven thousand, eleven".