11101001111001 has 12 divisors (see below), whose sum is σ = 16978001699412. Its totient is φ = 6965334030336.

The previous prime is 11101001110993. The next prime is 11101001111029. The reversal of 11101001111001 is 10011110010111.

11101001111001 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 2 ways, for example, as 4163313776400 + 6937687334601 = 2040420^2 + 2633949^2 .

It is not a de Polignac number, because 11101001111001 - 2³ = 11101001110993 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 (11101001111051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36277781256 + ... + 36277781561.

It is an arithmetic number, because the mean of its divisors is an integer number (1414833474951).

Almost surely, 2^{11101001111001} is an apocalyptic number.

It is an amenable number.

11101001111001 is a deficient number, since it is larger than the sum of its proper divisors (5877000588411).

11101001111001 is a wasteful number, since it uses less digits than its factorization.

11101001111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72555562840 (or 72555562837 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11101001111001 its reverse (10011110010111), we get a palindrome (21112111121112).

The spelling of 11101001111001 in words is "eleven trillion, one hundred one billion, one million, one hundred eleven thousand, one".