2112200000200 has 96 divisors (see below), whose sum is σ = 4960402056360. Its totient is φ = 836375859200.

The previous prime is 2112200000149. The next prime is 2112200000201. The reversal of 2112200000200 is 20000022112.

It can be written as a sum of positive squares in 12 ways, for example, as 261626112036 + 1850573888164 = 511494^2 + 1360358^2 .

It is a super-2 number, since 2×2112200000200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2112200000201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18497682 + ... + 18611518.

Almost surely, 2^{2112200000200} is an apocalyptic number.

2112200000200 is a gapful number since it is divisible by the number (20) 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 2112200000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480201028180).

2112200000200 is an abundant number, since it is smaller than the sum of its proper divisors (2848202056160).

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

2112200000200 is a wasteful number, since it uses less digits than its factorization.

2112200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114787 (or 114778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2112200000200 its reverse (20000022112), we get a palindrome (2132200022312).

It can be divided in two parts, 21 and 12200000200, that added together give a palindrome (12200000221).

The spelling of 2112200000200 in words is "two trillion, one hundred twelve billion, two hundred million, two hundred", and thus it is an aban number.