8220201221001 has 96 divisors (see below), whose sum is σ = 14509148258304. Its totient is φ = 4044127824000.

The previous prime is 8220201220997. The next prime is 8220201221119. The reversal of 8220201221001 is 1001221020228.

It is not a de Polignac number, because 8220201221001 - 2² = 8220201220997 is a prime.

It is a super-2 number, since 2×8220201221001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (8220201220001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5206440 + ... + 6599046.

It is an arithmetic number, because the mean of its divisors is an integer number (151136961024).

Almost surely, 2^{8220201221001} is an apocalyptic number.

It is an amenable number.

8220201221001 is a deficient number, since it is larger than the sum of its proper divisors (6288947037303).

8220201221001 is a wasteful number, since it uses less digits than its factorization.

8220201221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392763 (or 1392752 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 8220201221001 its reverse (1001221020228), we get a palindrome (9221422241229).

The spelling of 8220201221001 in words is "eight trillion, two hundred twenty billion, two hundred one million, two hundred twenty-one thousand, one".