220221100122001 has 64 divisors (see below), whose sum is σ = 253920162811392. Its totient is φ = 189038361600000.

The previous prime is 220221100121947. The next prime is 220221100122007. The reversal of 220221100122001 is 100221001122022.

It is a happy number.

It is not a de Polignac number, because 220221100122001 - 2¹¹ = 220221100119953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220221100122007) 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 63 ways as a sum of consecutive naturals, for example, 16268080705 + ... + 16268094241.

It is an arithmetic number, because the mean of its divisors is an integer number (3967502543928).

Almost surely, 2^{220221100122001} is an apocalyptic number.

It is an amenable number.

220221100122001 is a deficient number, since it is larger than the sum of its proper divisors (33699062689391).

220221100122001 is a wasteful number, since it uses less digits than its factorization.

220221100122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15514.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220221100122001 its reverse (100221001122022), we get a palindrome (320442101244023).

The spelling of 220221100122001 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, one".