10221120220320 has 384 divisors, whose sum is σ = 36686277492480. Its totient is φ = 2656397721600.

The previous prime is 10221120220307. The next prime is 10221120220327. The reversal of 10221120220320 is 2302202112201.

10221120220320 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 120 + 220 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10221120220293 and 10221120220302.

It is not an unprimeable number, because it can be changed into a prime (10221120220327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84832120 + ... + 84952520.

It is an arithmetic number, because the mean of its divisors is an integer number (95537180970).

Almost surely, 2^{10221120220320} is an apocalyptic number.

10221120220320 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 10221120220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343138746240).

10221120220320 is an abundant number, since it is smaller than the sum of its proper divisors (26465157272160).

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

10221120220320 is a wasteful number, since it uses less digits than its factorization.

10221120220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120925 (or 120911 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221120220320 its reverse (2302202112201), we get a palindrome (12523322332521).

The spelling of 10221120220320 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty thousand, three hundred twenty".