11101111101001 has 16 divisors (see below), whose sum is σ = 11834488314000. Its totient is φ = 10376681555968.

The previous prime is 11101111100971. The next prime is 11101111101037. The reversal of 11101111101001 is 10010111110111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5550101001 + 11095561000000 = 74499^2 + 3331000^2 .

It is not a de Polignac number, because 11101111101001 - 2⁷ = 11101111100873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101111101071) 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 15 ways as a sum of consecutive naturals, for example, 20228805 + ... + 20770333.

It is an arithmetic number, because the mean of its divisors is an integer number (739655519625).

Almost surely, 2^{11101111101001} is an apocalyptic number.

It is an amenable number.

11101111101001 is a deficient number, since it is larger than the sum of its proper divisors (733377212999).

11101111101001 is a wasteful number, since it uses less digits than its factorization.

11101111101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549788.

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

Adding to 11101111101001 its reverse (10010111110111), we get a palindrome (21111222211112).

The spelling of 11101111101001 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one".