10222221200 has 120 divisors (see below), whose sum is σ = 25739424000. Its totient is φ = 3893908480.

The previous prime is 10222221197. The next prime is 10222221203. The reversal of 10222221200 is 212222201.

It is an interprime number because it is at equal distance from previous prime (10222221197) and next prime (10222221203).

It is not an unprimeable number, because it can be changed into a prime (10222221203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2196476 + ... + 2201124.

It is an arithmetic number, because the mean of its divisors is an integer number (214495200).

Almost surely, 2^10222221200 is an apocalyptic number.

10222221200 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 10222221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869712000).

10222221200 is an abundant number, since it is smaller than the sum of its proper divisors (15517202800).

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

10222221200 is a wasteful number, since it uses less digits than its factorization.

10222221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4918 counting only the distinct ones).

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

Adding to 10222221200 its reverse (212222201), we get a palindrome (10434443401).

It can be divided in two parts, 1022 and 2221200, that added together give a palindrome (2222222).

The spelling of 10222221200 in words is "ten billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".