11101111101009 has 48 divisors (see below), whose sum is σ = 16701928963200. Its totient is φ = 7098593967360.

The previous prime is 11101111100971. The next prime is 11101111101037. The reversal of 11101111101009 is 90010111110111.

It is not a de Polignac number, because 11101111101009 - 2¹³ = 11101111092817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11101111100982 and 11101111101000.

It is not an unprimeable number, because it can be changed into a prime (11101111101209) 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 47 ways as a sum of consecutive naturals, for example, 343682142 + ... + 343714440.

It is an arithmetic number, because the mean of its divisors is an integer number (347956853400).

Almost surely, 2^{11101111101009} is an apocalyptic number.

It is an amenable number.

11101111101009 is a deficient number, since it is larger than the sum of its proper divisors (5600817862191).

11101111101009 is a wasteful number, since it uses less digits than its factorization.

11101111101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46950 (or 46947 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 11101111101009 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, nine".