11201011101009 has 48 divisors (see below), whose sum is σ = 16897286167632. Its totient is φ = 7143382462464.

The previous prime is 11201011100999. The next prime is 11201011101017. The reversal of 11201011101009 is 90010111010211.

11201011101009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1692267960384 + 9508743140625 = 1300872^2 + 3083625^2 .

It is not a de Polignac number, because 11201011101009 - 2²¹ = 11201009003857 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11201011100982 and 11201011101000.

It is not an unprimeable number, because it can be changed into a prime (11201011101409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6979177 + ... + 8432729.

It is an arithmetic number, because the mean of its divisors is an integer number (352026795159).

Almost surely, 2^{11201011101009} is an apocalyptic number.

It is an amenable number.

11201011101009 is a deficient number, since it is larger than the sum of its proper divisors (5696275066623).

11201011101009 is a wasteful number, since it uses less digits than its factorization.

11201011101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453986 (or 1453983 counting only the distinct ones).

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

The spelling of 11201011101009 in words is "eleven trillion, two hundred one billion, eleven million, one hundred one thousand, nine".