11011111101009 has 16 divisors (see below), whose sum is σ = 17171323355200. Its totient is φ = 6954385958208.

The previous prime is 11011111100987. The next prime is 11011111101013. The reversal of 11011111101009 is 90010111111011.

It is not a de Polignac number, because 11011111101009 - 2⁹ = 11011111100497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011111100982 and 11011111101000.

It is not an unprimeable number, because it can be changed into a prime (11011111101049) 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, 10732076584 + ... + 10732077609.

It is an arithmetic number, because the mean of its divisors is an integer number (1073207709700).

Almost surely, 2^{11011111101009} is an apocalyptic number.

11011111101009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11011111101009 is a deficient number, since it is larger than the sum of its proper divisors (6160212254191).

11011111101009 is a wasteful number, since it uses less digits than its factorization.

11011111101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21464154221 (or 21464154215 counting only the distinct ones).

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

The spelling of 11011111101009 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred one thousand, nine".