11001121011001 has 8 divisors (see below), whose sum is σ = 12707177210784. Its totient is φ = 9412723859520.

The previous prime is 11001121010963. The next prime is 11001121011017. The reversal of 11001121011001 is 10011012110011.

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 11001121011001 - 2²¹ = 11001118913849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11001121011061) 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, 29414761875 + ... + 29414762248.

It is an arithmetic number, because the mean of its divisors is an integer number (1588397151348).

Almost surely, 2^{11001121011001} is an apocalyptic number.

11001121011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001121011001 is a deficient number, since it is larger than the sum of its proper divisors (1706056199783).

11001121011001 is a wasteful number, since it uses less digits than its factorization.

11001121011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58829524151.

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

Adding to 11001121011001 its reverse (10011012110011), we get a palindrome (21012133121012).

The spelling of 11001121011001 in words is "eleven trillion, one billion, one hundred twenty-one million, eleven thousand, one".