2112100002012 has 480 divisors, whose sum is σ = 6710773192704. Its totient is φ = 502265836800.

The previous prime is 2112100001983. The next prime is 2112100002059. The reversal of 2112100002012 is 2102000012112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 4301629087 + ... + 4301629577.

Almost surely, 2^{2112100002012} is an apocalyptic number.

2112100002012 is a gapful number since it is divisible by the number (22) 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 2112100002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355386596352).

2112100002012 is an abundant number, since it is smaller than the sum of its proper divisors (4598673190692).

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

2112100002012 is a wasteful number, since it uses less digits than its factorization.

2112100002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2112100002012 its reverse (2102000012112), we get a palindrome (4214100014124).

The spelling of 2112100002012 in words is "two trillion, one hundred twelve billion, one hundred million, two thousand, twelve".