2010112000000 has 476 divisors, whose sum is σ = 5447568707728. Its totient is φ = 737280000000.

The previous prime is 2010111999989. The next prime is 2010112000009. The reversal of 2010112000000 is 2110102.

It is not an unprimeable number, because it can be changed into a prime (2010112000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13311999925 + ... + 13312000075.

Almost surely, 2^{2010112000000} is an apocalyptic number.

2010112000000 is a gapful number since it is divisible by the number (20) 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 2010112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723784353864).

2010112000000 is an abundant number, since it is smaller than the sum of its proper divisors (3437456707728).

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

2010112000000 is an frugal number, since it uses more digits than its factorization.

2010112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2010112000000 its reverse (2110102), we get a palindrome (2010114110102).

The spelling of 2010112000000 in words is "two trillion, ten billion, one hundred twelve million", and thus it is an aban number.