2112012222100 has 144 divisors (see below), whose sum is σ = 5051658048192. Its totient is φ = 760032000000.

The previous prime is 2112012222013. The next prime is 2112012222109. The reversal of 2112012222100 is 12222102112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112012222109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346740055 + ... + 346746145.

It is an arithmetic number, because the mean of its divisors is an integer number (35080958668).

Almost surely, 2^{2112012222100} is an apocalyptic number.

2112012222100 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 2112012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525829024096).

2112012222100 is an abundant number, since it is smaller than the sum of its proper divisors (2939645826092).

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

2112012222100 is a wasteful number, since it uses less digits than its factorization.

2112012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338 (or 9331 counting only the distinct ones).

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

Adding to 2112012222100 its reverse (12222102112), we get a palindrome (2124234324212).

The spelling of 2112012222100 in words is "two trillion, one hundred twelve billion, twelve million, two hundred twenty-two thousand, one hundred".