10221022200020 has 144 divisors (see below), whose sum is σ = 22699187482608. Its totient is φ = 3864872632320.

The previous prime is 10221022199959. The next prime is 10221022200043. The reversal of 10221022200020 is 2000222012201.

It can be written as a sum of positive squares in 24 ways, for example, as 2382713308816 + 7838308891204 = 1543604^2 + 2799698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10221022199968 and 10221022200004.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 168186440 + ... + 168247200.

It is an arithmetic number, because the mean of its divisors is an integer number (157633246407).

Almost surely, 2^{10221022200020} is an apocalyptic number.

10221022200020 is a gapful number since it is divisible by the number (10) 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 10221022200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11349593741304).

10221022200020 is an abundant number, since it is smaller than the sum of its proper divisors (12478165282588).

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

10221022200020 is a wasteful number, since it uses less digits than its factorization.

10221022200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61038 (or 61007 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10221022200020 its reverse (2000222012201), we get a palindrome (12221244212221).

The spelling of 10221022200020 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, two hundred thousand, twenty".