221001122201020 has 96 divisors (see below), whose sum is σ = 559710942981120. Its totient is φ = 71604810777600.

The previous prime is 221001122200993. The next prime is 221001122201023. The reversal of 221001122201020 is 20102221100122.

It is a happy number.

It is a super-2 number, since 2×221001122201020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221001122200985 and 221001122201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001122201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102528264 + ... + 104661583.

It is an arithmetic number, because the mean of its divisors is an integer number (5830322322720).

Almost surely, 2^{221001122201020} is an apocalyptic number.

221001122201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001122201020 is an abundant number, since it is smaller than the sum of its proper divisors (338709820780100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221001122201020 is a wasteful number, since it uses less digits than its factorization.

221001122201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207190283 (or 207190281 counting only the distinct ones).

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

Adding to 221001122201020 its reverse (20102221100122), we get a palindrome (241103343301142).

The spelling of 221001122201020 in words is "two hundred twenty-one trillion, one billion, one hundred twenty-two million, two hundred one thousand, twenty".