221001001202020 has 192 divisors, whose sum is σ = 525595559106240. Its totient is φ = 77482782720000.

The previous prime is 221001001202011. The next prime is 221001001202039. The reversal of 221001001202020 is 20202100100122.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 199059140404224 + 21941860797796 = 14108832^2 + 4684214^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3220005624 + ... + 3220074256.

It is an arithmetic number, because the mean of its divisors is an integer number (2737476870345).

Almost surely, 2^{221001001202020} is an apocalyptic number.

221001001202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221001001202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262797779553120).

221001001202020 is an abundant number, since it is smaller than the sum of its proper divisors (304594557904220).

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

221001001202020 is a wasteful number, since it uses less digits than its factorization.

221001001202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75746 (or 75744 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221001001202020 its reverse (20202100100122), we get a palindrome (241203101302142).

The spelling of 221001001202020 in words is "two hundred twenty-one trillion, one billion, one million, two hundred two thousand, twenty".