10222112132200 has 48 divisors (see below), whose sum is σ = 23788076131980. Its totient is φ = 4085117468160.

The previous prime is 10222112132179. The next prime is 10222112132207. The reversal of 10222112132200 is 223121122201.

It can be written as a sum of positive squares in 6 ways, for example, as 6187228407396 + 4034883724804 = 2487414^2 + 2008702^2 .

It is not an unprimeable number, because it can be changed into a prime (10222112132207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23076207 + ... + 23515006.

Almost surely, 2^{10222112132200} is an apocalyptic number.

10222112132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222112132200 is an abundant number, since it is smaller than the sum of its proper divisors (13565963999780).

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

10222112132200 is a wasteful number, since it uses less digits than its factorization.

10222112132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46592326 (or 46592317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10222112132200 its reverse (223121122201), we get a palindrome (10445233254401).

The spelling of 10222112132200 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, one hundred thirty-two thousand, two hundred".