11201101011001 has 32 divisors (see below), whose sum is σ = 12358064609280. Its totient is φ = 10068055372800.

The previous prime is 11201101010969. The next prime is 11201101011011. The reversal of 11201101011001 is 10011010110211.

It is a cyclic number.

It is not a de Polignac number, because 11201101011001 - 2⁵ = 11201101010969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11201101011011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278524171 + ... + 278564383.

It is an arithmetic number, because the mean of its divisors is an integer number (386189519040).

Almost surely, 2^{11201101011001} is an apocalyptic number.

11201101011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11201101011001 is a deficient number, since it is larger than the sum of its proper divisors (1156963598279).

11201101011001 is a wasteful number, since it uses less digits than its factorization.

11201101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41217.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11201101011001 its reverse (10011010110211), we get a palindrome (21212111121212).

The spelling of 11201101011001 in words is "eleven trillion, two hundred one billion, one hundred one million, eleven thousand, one".