2100212002112 has 112 divisors (see below), whose sum is σ = 4874721751680. Its totient is φ = 878982838272.

The previous prime is 2100212002099. The next prime is 2100212002123. The reversal of 2100212002112 is 2112002120012.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 150040298 + ... + 150054294.

Almost surely, 2^{2100212002112} 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 2100212002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437360875840).

2100212002112 is an abundant number, since it is smaller than the sum of its proper divisors (2774509749568).

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

2100212002112 is a wasteful number, since it uses less digits than its factorization.

2100212002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21848 (or 21838 counting only the distinct ones).

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

Adding to 2100212002112 its reverse (2112002120012), we get a palindrome (4212214122124).

The spelling of 2100212002112 in words is "two trillion, one hundred billion, two hundred twelve million, two thousand, one hundred twelve".