2110012100112 has 320 divisors, whose sum is σ = 6425003487744. Its totient is φ = 584323891200.

The previous prime is 2110012100089. The next prime is 2110012100143.

2110012100112 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339390828 + ... + 339397044.

Almost surely, 2^{2110012100112} 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 2110012100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212501743872).

2110012100112 is an abundant number, since it is smaller than the sum of its proper divisors (4314991387632).

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

2110012100112 is a wasteful number, since it uses less digits than its factorization.

2110012100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6546 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 2110012100112 in words is "two trillion, one hundred ten billion, twelve million, one hundred thousand, one hundred twelve".