10012221404320 has 384 divisors, whose sum is σ = 25976184917760. Its totient is φ = 3633770004480.

The previous prime is 10012221404303. The next prime is 10012221404333. The reversal of 10012221404320 is 2340412221001.

It is a junction number, because it is equal to n+sod(n) for n = 10012221404291 and 10012221404300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2814791982 + ... + 2814795538.

It is an arithmetic number, because the mean of its divisors is an integer number (67646314890).

Almost surely, 2^{10012221404320} is an apocalyptic number.

10012221404320 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 10012221404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988092458880).

10012221404320 is an abundant number, since it is smaller than the sum of its proper divisors (15963963513440).

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

10012221404320 is a wasteful number, since it uses less digits than its factorization.

10012221404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10012221404320 its reverse (2340412221001), we get a palindrome (12352633625321).

The spelling of 10012221404320 in words is "ten trillion, twelve billion, two hundred twenty-one million, four hundred four thousand, three hundred twenty".