2112022212100 has 108 divisors (see below), whose sum is σ = 4874303399616. Its totient is φ = 792828882560.

The previous prime is 2112022212073. The next prime is 2112022212107. The reversal of 2112022212100 is 12122202112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2112022212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6297249 + ... + 6624151.

Almost surely, 2^{2112022212100} is an apocalyptic number.

2112022212100 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 2112022212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437151699808).

2112022212100 is an abundant number, since it is smaller than the sum of its proper divisors (2762281187516).

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

2112022212100 is a wasteful number, since it uses less digits than its factorization.

2112022212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327046 (or 326986 counting only the distinct ones).

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

Adding to 2112022212100 its reverse (12122202112), we get a palindrome (2124144414212).

The spelling of 2112022212100 in words is "two trillion, one hundred twelve billion, twenty-two million, two hundred twelve thousand, one hundred".