10022212321000 has 432 divisors, whose sum is σ = 27262841189220. Its totient is φ = 3445420176000.

The previous prime is 10022212320997. The next prime is 10022212321001. The reversal of 10022212321000 is 12321222001.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6775015528996 + 3247196792004 = 2602886^2 + 1801998^2 .

It is not an unprimeable number, because it can be changed into a prime (10022212321001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20923198761 + ... + 20923199239.

Almost surely, 2^{10022212321000} is an apocalyptic number.

10022212321000 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 10022212321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631420594610).

10022212321000 is an abundant number, since it is smaller than the sum of its proper divisors (17240628868220).

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

10022212321000 is an equidigital number, since it uses as much as digits as its factorization.

10022212321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10022212321000 its reverse (12321222001), we get a palindrome (10034533543001).

The spelling of 10022212321000 in words is "ten trillion, twenty-two billion, two hundred twelve million, three hundred twenty-one thousand".