2122100220200 has 48 divisors (see below), whose sum is σ = 5014766368860. Its totient is φ = 834924672000.

The previous prime is 2122100220181. The next prime is 2122100220209. The reversal of 2122100220200 is 20220012212.

It can be written as a sum of positive squares in 6 ways, for example, as 25691601796 + 2096408618404 = 160286^2 + 1447898^2 .

It is not an unprimeable number, because it can be changed into a prime (2122100220209) 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 11 ways as a sum of consecutive naturals, for example, 86959121 + ... + 86983520.

Almost surely, 2^{2122100220200} is an apocalyptic number.

2122100220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122100220200 is an abundant number, since it is smaller than the sum of its proper divisors (2892666148660).

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

2122100220200 is a wasteful number, since it uses less digits than its factorization.

2122100220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173942718 (or 173942709 counting only the distinct ones).

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

Adding to 2122100220200 its reverse (20220012212), we get a palindrome (2142320232412).

The spelling of 2122100220200 in words is "two trillion, one hundred twenty-two billion, one hundred million, two hundred twenty thousand, two hundred".