221002122222020 has 48 divisors (see below), whose sum is σ = 464354430481200. Its totient is φ = 88353241067520.

The previous prime is 221002122221971. The next prime is 221002122222061. The reversal of 221002122222020 is 20222221200122.

It can be written as a sum of positive squares in 8 ways, for example, as 9161169796 + 220992961052224 = 95714^2 + 14865832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221002122221983 and 221002122222001.

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 15 ways as a sum of consecutive naturals, for example, 590587136 + ... + 590961224.

It is an arithmetic number, because the mean of its divisors is an integer number (9674050635025).

Almost surely, 2^{221002122222020} is an apocalyptic number.

221002122222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002122222020 is an abundant number, since it is smaller than the sum of its proper divisors (243352308259180).

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

221002122222020 is a wasteful number, since it uses less digits than its factorization.

221002122222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389928 (or 389926 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221002122222020 its reverse (20222221200122), we get a palindrome (241224343422142).

The spelling of 221002122222020 in words is "two hundred twenty-one trillion, two billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty".