10221010000020 has 144 divisors (see below), whose sum is σ = 31471245344448. Its totient is φ = 2684514792960.

The previous prime is 10221010000009. The next prime is 10221010000037. The reversal of 10221010000020 is 2000001012201.

It is a super-3 number, since 3×10221010000020³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10221009999957 and 10221010000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84009472 + ... + 84131048.

It is an arithmetic number, because the mean of its divisors is an integer number (218550314892).

Almost surely, 2^{10221010000020} is an apocalyptic number.

10221010000020 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 10221010000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735622672224).

10221010000020 is an abundant number, since it is smaller than the sum of its proper divisors (21250235344428).

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

10221010000020 is a wasteful number, since it uses less digits than its factorization.

10221010000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128630 (or 128625 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10221010000020 its reverse (2000001012201), we get a palindrome (12221011012221).

The spelling of 10221010000020 in words is "ten trillion, two hundred twenty-one billion, ten million, twenty", and thus it is an aban number.