1001221322211 has 16 divisors (see below), whose sum is σ = 1618135470720. Its totient is φ = 606800801160.

The previous prime is 1001221322207. The next prime is 1001221322263. The reversal of 1001221322211 is 1122231221001.

1001221322211 is a `hidden beast` number, since 10 + 0 + 122 + 1 + 322 + 211 = 666.

It is not a de Polignac number, because 1001221322211 - 2² = 1001221322207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001221322111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1685557485 + ... + 1685558078.

It is an arithmetic number, because the mean of its divisors is an integer number (101133466920).

Almost surely, 2^{1001221322211} is an apocalyptic number.

1001221322211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001221322211 is a deficient number, since it is larger than the sum of its proper divisors (616914148509).

1001221322211 is a wasteful number, since it uses less digits than its factorization.

1001221322211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371115583 (or 3371115577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1001221322211 its reverse (1122231221001), we get a palindrome (2123452543212).

The spelling of 1001221322211 in words is "one trillion, one billion, two hundred twenty-one million, three hundred twenty-two thousand, two hundred eleven".