10022212200 has 1152 divisors, whose sum is σ = 44219669760. Its totient is φ = 1824768000.

The previous prime is 10022212171. The next prime is 10022212223. The reversal of 10022212200 is 221222001.

10022212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 244444180 + ... + 244444220.

It is an arithmetic number, because the mean of its divisors is an integer number (38385130).

Almost surely, 2^10022212200 is an apocalyptic number.

10022212200 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 10022212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109834880).

10022212200 is an abundant number, since it is smaller than the sum of its proper divisors (34197457560).

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

10022212200 is a wasteful number, since it uses less digits than its factorization.

10022212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022212200 its reverse (221222001), we get a palindrome (10243434201).

It can be divided in two parts, 10022 and 212200, that added together give a palindrome (222222).

The spelling of 10022212200 in words is "ten billion, twenty-two million, two hundred twelve thousand, two hundred".