2112102122000 has 320 divisors, whose sum is σ = 5642109048576. Its totient is φ = 759783628800.

The previous prime is 2112102121999. The next prime is 2112102122003. The reversal of 2112102122000 is 2212012112.

It is not an unprimeable number, because it can be changed into a prime (2112102122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484091819 + ... + 484096181.

Almost surely, 2^{2112102122000} is an apocalyptic number.

2112102122000 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 2112102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821054524288).

2112102122000 is an abundant number, since it is smaller than the sum of its proper divisors (3530006926576).

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

2112102122000 is a wasteful number, since it uses less digits than its factorization.

2112102122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2112102122000 its reverse (2212012112), we get a palindrome (2114314134112).

The spelling of 2112102122000 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred twenty-two thousand".