11001001221001 has 8 divisors (see below), whose sum is σ = 12001313960064. Its totient is φ = 10000725435120.

The previous prime is 11001001220983. The next prime is 11001001221013. The reversal of 11001001221001 is 10012210010011.

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 11001001221001 - 2³⁵ = 10966641482633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11001001021001) 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 7 ways as a sum of consecutive naturals, for example, 8613990 + ... + 9808303.

It is an arithmetic number, because the mean of its divisors is an integer number (1500164245008).

Almost surely, 2^{11001001221001} is an apocalyptic number.

11001001221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001001221001 is a deficient number, since it is larger than the sum of its proper divisors (1000312739063).

11001001221001 is a wasteful number, since it uses less digits than its factorization.

11001001221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18476591.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11001001221001 its reverse (10012210010011), we get a palindrome (21013211231012).

The spelling of 11001001221001 in words is "eleven trillion, one billion, one million, two hundred twenty-one thousand, one".