11201111001 has 48 divisors (see below), whose sum is σ = 17386125120. Its totient is φ = 7201846080.

The previous prime is 11201110967. The next prime is 11201111029. The reversal of 11201111001 is 10011110211.

It is not a de Polignac number, because 11201111001 - 2⁶ = 11201110937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11201112001) 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, 752491 + ... + 767231.

It is an arithmetic number, because the mean of its divisors is an integer number (362210940).

Almost surely, 2^11201111001 is an apocalyptic number.

It is an amenable number.

11201111001 is a deficient number, since it is larger than the sum of its proper divisors (6185014119).

11201111001 is an equidigital number, since it uses as much as digits as its factorization.

11201111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14868 (or 14856 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11201111001 its reverse (10011110211), we get a palindrome (21212221212).

The spelling of 11201111001 in words is "eleven billion, two hundred one million, one hundred eleven thousand, one".