10222112102200 has 24 divisors (see below), whose sum is σ = 23766410638080. Its totient is φ = 4088844840800.

The previous prime is 10222112102171. The next prime is 10222112102201. The reversal of 10222112102200 is 220121122201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222112102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25555280056 + ... + 25555280455.

It is an arithmetic number, because the mean of its divisors is an integer number (990267109920).

Almost surely, 2^{10222112102200} is an apocalyptic number.

10222112102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222112102200 is an abundant number, since it is smaller than the sum of its proper divisors (13544298535880).

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

10222112102200 is a wasteful number, since it uses less digits than its factorization.

10222112102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51110560527 (or 51110560518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10222112102200 its reverse (220121122201), we get a palindrome (10442233224401).

The spelling of 10222112102200 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, one hundred two thousand, two hundred".