20010221000000 has 1568 divisors, whose sum is σ = 65287324311552. Its totient is φ = 5904000000000.

The previous prime is 20010220999999. The next prime is 20010221000009. The reversal of 20010221000000 is 12201002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010221000009) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 198120999950 + ... + 198121000050.

Almost surely, 2^{20010221000000} is an apocalyptic number.

20010221000000 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 20010221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643662155776).

20010221000000 is an abundant number, since it is smaller than the sum of its proper divisors (45277103311552).

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

20010221000000 is an equidigital number, since it uses as much as digits as its factorization.

20010221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20010221000000 its reverse (12201002), we get a palindrome (20010233201002).

The spelling of 20010221000000 in words is "twenty trillion, ten billion, two hundred twenty-one million", and thus it is an aban number.