20010211221000 has 512 divisors, whose sum is σ = 83824606494720. Its totient is φ = 3838121856000.

The previous prime is 20010211220963. The next prime is 20010211221043. The reversal of 20010211221000 is 12211201002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 328704 + ... + 6334703.

It is an arithmetic number, because the mean of its divisors is an integer number (163719934560).

Almost surely, 2^{20010211221000} is an apocalyptic number.

20010211221000 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 20010211221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912303247360).

20010211221000 is an abundant number, since it is smaller than the sum of its proper divisors (63814395273720).

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

20010211221000 is a wasteful number, since it uses less digits than its factorization.

20010211221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663462 (or 6663448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20010211221000 its reverse (12211201002), we get a palindrome (20022422422002).

The spelling of 20010211221000 in words is "twenty trillion, ten billion, two hundred eleven million, two hundred twenty-one thousand".