10022021320320 has 384 divisors, whose sum is σ = 35954437755600. Its totient is φ = 2569297920000.

The previous prime is 10022021320231. The next prime is 10022021320331. The reversal of 10022021320320 is 2302312022001.

10022021320320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 0 + 21 + 320 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1054104676416 + 8967916643904 = 1026696^2 + 2994648^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10022021320320² (a number of 27 digits) contains 22 as substring.

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 = 10022021320293 and 10022021320302.

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, 38791570 + ... + 39049070.

Almost surely, 2^{10022021320320} is an apocalyptic number.

10022021320320 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 10022021320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17977218877800).

10022021320320 is an abundant number, since it is smaller than the sum of its proper divisors (25932416435280).

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

10022021320320 is a wasteful number, since it uses less digits than its factorization.

10022021320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257788 (or 257773 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10022021320320 its reverse (2302312022001), we get a palindrome (12324333342321).

The spelling of 10022021320320 in words is "ten trillion, twenty-two billion, twenty-one million, three hundred twenty thousand, three hundred twenty".