2010001112112 has 640 divisors, whose sum is σ = 6594723053568. Its totient is φ = 514385510400.

The previous prime is 2010001112051. The next prime is 2010001112113. The reversal of 2010001112112 is 2112111000102.

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

It is not an unprimeable number, because it can be changed into a prime (2010001112113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3483537168 + ... + 3483537744.

Almost surely, 2^{2010001112112} 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 2010001112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297361526784).

2010001112112 is an abundant number, since it is smaller than the sum of its proper divisors (4584721941456).

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

2010001112112 is a wasteful number, since it uses less digits than its factorization.

2010001112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

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

Adding to 2010001112112 its reverse (2112111000102), we get a palindrome (4122112112214).

The spelling of 2010001112112 in words is "two trillion, ten billion, one million, one hundred twelve thousand, one hundred twelve".