2112100020012 has 96 divisors (see below), whose sum is σ = 5283156856320. Its totient is φ = 654738439680.

The previous prime is 2112100019987. The next prime is 2112100020029. The reversal of 2112100020012 is 2100200012112.

It is a super-3 number, since 3×2112100020012³ (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2112100020012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6844768 + ... + 7146680.

It is an arithmetic number, because the mean of its divisors is an integer number (55032883920).

Almost surely, 2^{2112100020012} 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 2112100020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641578428160).

2112100020012 is an abundant number, since it is smaller than the sum of its proper divisors (3171056836308).

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

2112100020012 is a wasteful number, since it uses less digits than its factorization.

2112100020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302503 (or 302501 counting only the distinct ones).

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

Adding to 2112100020012 its reverse (2100200012112), we get a palindrome (4212300032124).

The spelling of 2112100020012 in words is "two trillion, one hundred twelve billion, one hundred million, twenty thousand, twelve".