220221001211201 has 8 divisors (see below), whose sum is σ = 220671398304960. Its totient is φ = 219771016006608.

The previous prime is 220221001211171. The next prime is 220221001211207. The reversal of 220221001211201 is 102112100122022.

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 220221001211201 - 2³⁴ = 220203821342017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220221001211201.

It is not an unprimeable number, because it can be changed into a prime (220221001211207) 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, 101901866 + ... + 104040531.

It is an arithmetic number, because the mean of its divisors is an integer number (27583924788120).

Almost surely, 2^{220221001211201} is an apocalyptic number.

It is an amenable number.

220221001211201 is a deficient number, since it is larger than the sum of its proper divisors (450397093759).

220221001211201 is a wasteful number, since it uses less digits than its factorization.

220221001211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205944583.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220221001211201 its reverse (102112100122022), we get a palindrome (322333101333223).

The spelling of 220221001211201 in words is "two hundred twenty trillion, two hundred twenty-one billion, one million, two hundred eleven thousand, two hundred one".