220221012002020 has 24 divisors (see below), whose sum is σ = 462961933774200. Its totient is φ = 87993584120832.

The previous prime is 220221012001957. The next prime is 220221012002071. The reversal of 220221012002020 is 20200210122022.

It can be written as a sum of positive squares in 4 ways, for example, as 4321717107876 + 215899294894144 = 2078874^2 + 14693512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220221012001985 and 220221012002003.

It is an unprimeable number.

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, 5926273455 + ... + 5926310614.

It is an arithmetic number, because the mean of its divisors is an integer number (19290080573925).

Almost surely, 2^{220221012002020} is an apocalyptic number.

220221012002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221012002020 is an abundant number, since it is smaller than the sum of its proper divisors (242740921772180).

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

220221012002020 is a wasteful number, since it uses less digits than its factorization.

220221012002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852585007 (or 11852585005 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220221012002020 its reverse (20200210122022), we get a palindrome (240421222124042).

The spelling of 220221012002020 in words is "two hundred twenty trillion, two hundred twenty-one billion, twelve million, two thousand, twenty".