20010221120000 has 200 divisors, whose sum is σ = 49979529946500. Its totient is φ = 8001073152000.

The previous prime is 20010221119997. The next prime is 20010221120003. The reversal of 20010221120000 is 2112201002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20010221119997) and next prime (20010221120003).

It can be written as a sum of positive squares in 10 ways, for example, as 7672368169216 + 12337852950784 = 2769904^2 + 3512528^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (20010221120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 975669746 + ... + 975690254.

Almost surely, 2^{20010221120000} is an apocalyptic number.

20010221120000 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 20010221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24989764973250).

20010221120000 is an abundant number, since it is smaller than the sum of its proper divisors (29969308826500).

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

20010221120000 is an frugal number, since it uses more digits than its factorization.

20010221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23596 (or 23565 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20010221120000 its reverse (2112201002), we get a palindrome (20012333321002).

The spelling of 20010221120000 in words is "twenty trillion, ten billion, two hundred twenty-one million, one hundred twenty thousand".