11001111101016 has 32 divisors (see below), whose sum is σ = 27712722628800. Its totient is φ = 3639044383520.

The previous prime is 11001111100913. The next prime is 11001111101017. The reversal of 11001111101016 is 61010111110011.

It is a junction number, because it is equal to n+sod(n) for n = 11001111100986 and 11001111101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1749537426 + ... + 1749543713.

It is an arithmetic number, because the mean of its divisors is an integer number (866022582150).

Almost surely, 2^{11001111101016} is an apocalyptic number.

It is an amenable number.

11001111101016 is an abundant number, since it is smaller than the sum of its proper divisors (16711611527784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11001111101016 is a wasteful number, since it uses less digits than its factorization.

11001111101016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499081279 (or 3499081275 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 15.

Adding to 11001111101016 its reverse (61010111110011), we get a palindrome (72011222211027).

The spelling of 11001111101016 in words is "eleven trillion, one billion, one hundred eleven million, one hundred one thousand, sixteen".