2112122220200 has 96 divisors (see below), whose sum is σ = 5042647711200. Its totient is φ = 822284386560.

The previous prime is 2112122220199. The next prime is 2112122220251. The reversal of 2112122220200 is 20222212112.

It is a happy number.

It is a super-2 number, since 2×2112122220200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999886 + ... + 2867714.

It is an arithmetic number, because the mean of its divisors is an integer number (52527580325).

Almost surely, 2^{2112122220200} is an apocalyptic number.

2112122220200 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 2112122220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521323855600).

2112122220200 is an abundant number, since it is smaller than the sum of its proper divisors (2930525491000).

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

2112122220200 is a wasteful number, since it uses less digits than its factorization.

2112122220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868171 (or 868162 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2112122220200 its reverse (20222212112), we get a palindrome (2132344432312).

The spelling of 2112122220200 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, two hundred".