11121101001001 has 16 divisors (see below), whose sum is σ = 11317946542848. Its totient is φ = 10925971056000.

The previous prime is 11121101000929. The next prime is 11121101001013. The reversal of 11121101001001 is 10010010112111.

It is a cyclic number.

It is not a de Polignac number, because 11121101001001 - 2¹³ = 11121100992809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121101001041) 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, 183920365 + ... + 183980821.

It is an arithmetic number, because the mean of its divisors is an integer number (707371658928).

Almost surely, 2^{11121101001001} is an apocalyptic number.

It is an amenable number.

11121101001001 is a deficient number, since it is larger than the sum of its proper divisors (196845541847).

11121101001001 is a wasteful number, since it uses less digits than its factorization.

11121101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74592.

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

Adding to 11121101001001 its reverse (10010010112111), we get a palindrome (21131111113112).

The spelling of 11121101001001 in words is "eleven trillion, one hundred twenty-one billion, one hundred one million, one thousand, one".