11011111101001 has 8 divisors (see below), whose sum is σ = 12016990351584. Its totient is φ = 10006043375520.

The previous prime is 11011111100987. The next prime is 11011111101013. The reversal of 11011111101001 is 10010111111011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11011111101001 - 2²⁵ = 11011077546569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011111101071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202852900 + ... + 202907173.

It is an arithmetic number, because the mean of its divisors is an integer number (1502123793948).

Almost surely, 2^{11011111101001} is an apocalyptic number.

11011111101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011111101001 is a deficient number, since it is larger than the sum of its proper divisors (1005879250583).

11011111101001 is a wasteful number, since it uses less digits than its factorization.

11011111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405762551.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11011111101001 its reverse (10010111111011), we get a palindrome (21021222212012).

The spelling of 11011111101001 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred one thousand, one".