10222120220200 has 96 divisors (see below), whose sum is σ = 27163852652160. Its totient is φ = 3504440620800.

The previous prime is 10222120220173. The next prime is 10222120220219. The reversal of 10222120220200 is 202202122201.

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 23 ways as a sum of consecutive naturals, for example, 17212210 + ... + 17796190.

It is an arithmetic number, because the mean of its divisors is an integer number (282956798460).

Almost surely, 2^{10222120220200} is an apocalyptic number.

10222120220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222120220200 is an abundant number, since it is smaller than the sum of its proper divisors (16941732431960).

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

10222120220200 is a wasteful number, since it uses less digits than its factorization.

10222120220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596507 (or 596498 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10222120220200 its reverse (202202122201), we get a palindrome (10424322342401).

The spelling of 10222120220200 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, two hundred".