20221020201000 has 128 divisors (see below), whose sum is σ = 63133745875200. Its totient is φ = 5388497452800.

The previous prime is 20221020200987. The next prime is 20221020201007. The reversal of 20221020201000 is 10202012202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20221020201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1928589 + ... + 6645411.

It is an arithmetic number, because the mean of its divisors is an integer number (493232389650).

Almost surely, 2^{20221020201000} is an apocalyptic number.

20221020201000 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 20221020201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31566872937600).

20221020201000 is an abundant number, since it is smaller than the sum of its proper divisors (42912725674200).

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

20221020201000 is a wasteful number, since it uses less digits than its factorization.

20221020201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718276 (or 4718262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20221020201000 its reverse (10202012202), we get a palindrome (20231222213202).

The spelling of 20221020201000 in words is "twenty trillion, two hundred twenty-one billion, twenty million, two hundred one thousand".