221211221122001 has 16 divisors (see below), whose sum is σ = 244549473235200. Its totient is φ = 198414605875200.

The previous prime is 221211221121967. The next prime is 221211221122009. The reversal of 221211221122001 is 100221122112122.

It is not a de Polignac number, because 221211221122001 - 2³⁸ = 220936343215057 is a prime.

It is a super-2 number, since 2×221211221122001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221211221122009) 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, 89108570 + ... + 91557411.

It is an arithmetic number, because the mean of its divisors is an integer number (15284342077200).

Almost surely, 2^{221211221122001} is an apocalyptic number.

It is an amenable number.

221211221122001 is a deficient number, since it is larger than the sum of its proper divisors (23338252113199).

221211221122001 is a wasteful number, since it uses less digits than its factorization.

221211221122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180667480.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221211221122001 its reverse (100221122112122), we get a palindrome (321432343234123).

The spelling of 221211221122001 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, one".