221002020000000 has 720 divisors, whose sum is σ = 823738973449392. Its totient is φ = 58933440000000.

The previous prime is 221002019999963. The next prime is 221002020000089. The reversal of 221002020000000 is 20200122.

It can be written as a sum of positive squares in 8 ways, for example, as 112545958477824 + 108456061522176 = 10608768^2 + 10414224^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1619931790 + ... + 1620068210.

Almost surely, 2^{221002020000000} is an apocalyptic number.

221002020000000 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 221002020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411869486724696).

221002020000000 is an abundant number, since it is smaller than the sum of its proper divisors (602736953449392).

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

221002020000000 is an frugal number, since it uses more digits than its factorization.

221002020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136484 (or 136431 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 221002020000000 its reverse (20200122), we get a palindrome (221002040200122).

The spelling of 221002020000000 in words is "two hundred twenty-one trillion, two billion, twenty million", and thus it is an aban number.