11101001001001 has 16 divisors (see below), whose sum is σ = 11925310406400. Its totient is φ = 10301955943248.

The previous prime is 11101001000939. The next prime is 11101001001007. The reversal of 11101001001001 is 10010010010111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11101001001001 - 2¹¹ = 11101000998953 is a prime.

It is a Duffinian number.

11101001001001 is a modest number, since divided by 1001001 gives 11101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11101001001007) 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, 17178811 + ... + 17813296.

It is an arithmetic number, because the mean of its divisors is an integer number (745331900400).

Almost surely, 2^{11101001001001} is an apocalyptic number.

It is an amenable number.

11101001001001 is a deficient number, since it is larger than the sum of its proper divisors (824309405399).

11101001001001 is a wasteful number, since it uses less digits than its factorization.

11101001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34992468.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11101001001001 its reverse (10010010010111), we get a palindrome (21111011011112).

The spelling of 11101001001001 in words is "eleven trillion, one hundred one billion, one million, one thousand, one".