212100112000112 has 240 divisors, whose sum is σ = 486199774776384. Its totient is φ = 89361216000000.

The previous prime is 212100112000079. The next prime is 212100112000121. The reversal of 212100112000112 is 211000211001212.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 44252055188 + ... + 44252059980.

Almost surely, 2^{212100112000112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100112000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243099887388192).

212100112000112 is an abundant number, since it is smaller than the sum of its proper divisors (274099662776272).

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

212100112000112 is a wasteful number, since it uses less digits than its factorization.

212100112000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212100112000112 its reverse (211000211001212), we get a palindrome (423100323001324).

The spelling of 212100112000112 in words is "two hundred twelve trillion, one hundred billion, one hundred twelve million, one hundred twelve", and thus it is an aban number.