2010112112000 has 64 divisors (see below), whose sum is σ = 4997641278240. Its totient is φ = 804044838400.

The previous prime is 2010112111979. The next prime is 2010112112027. The reversal of 2010112112000 is 2112110102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62800004 + ... + 62832003.

Almost surely, 2^{2010112112000} is an apocalyptic number.

2010112112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010112112000 is an abundant number, since it is smaller than the sum of its proper divisors (2987529166240).

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

2010112112000 is an equidigital number, since it uses as much as digits as its factorization.

2010112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125632036 (or 125632014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2010112112000 its reverse (2112110102), we get a palindrome (2012224222102).

The spelling of 2010112112000 in words is "two trillion, ten billion, one hundred twelve million, one hundred twelve thousand".