22020100221000 has 512 divisors, whose sum is σ = 83177147289600. Its totient is φ = 4734755942400.

The previous prime is 22020100220981. The next prime is 22020100221013. The reversal of 22020100221000 is 12200102022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 777888847 + ... + 777917153.

It is an arithmetic number, because the mean of its divisors is an integer number (162455365800).

Almost surely, 2^{22020100221000} is an apocalyptic number.

22020100221000 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 22020100221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41588573644800).

22020100221000 is an abundant number, since it is smaller than the sum of its proper divisors (61157047068600).

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

22020100221000 is a wasteful number, since it uses less digits than its factorization.

22020100221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30534 (or 30520 counting only the distinct ones).

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

Adding to 22020100221000 its reverse (12200102022), we get a palindrome (22032300323022).

The spelling of 22020100221000 in words is "twenty-two trillion, twenty billion, one hundred million, two hundred twenty-one thousand".