10022221220000 has 480 divisors, whose sum is σ = 27674916192000. Its totient is φ = 3539916800000.

The previous prime is 10022221219961. The next prime is 10022221220003. The reversal of 10022221220000 is 2212222001.

10022221220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10022221220003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2155777676 + ... + 2155782324.

It is an arithmetic number, because the mean of its divisors is an integer number (57656075400).

Almost surely, 2^{10022221220000} is an apocalyptic number.

10022221220000 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 10022221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837458096000).

10022221220000 is an abundant number, since it is smaller than the sum of its proper divisors (17652694972000).

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

10022221220000 is a wasteful number, since it uses less digits than its factorization.

10022221220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10022221220000 its reverse (2212222001), we get a palindrome (10024433442001).

It can be divided in two parts, 1002222 and 1220000, that added together give a palindrome (2222222).

The spelling of 10022221220000 in words is "ten trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty thousand".