2001010112000 has 80 divisors (see below), whose sum is σ = 4989643936992. Its totient is φ = 800404019200.

The previous prime is 2001010111937. The next prime is 2001010112027. The reversal of 2001010112000 is 2110101002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15568892 + ... + 15696891.

Almost surely, 2^{2001010112000} is an apocalyptic number.

2001010112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001010112000 is an abundant number, since it is smaller than the sum of its proper divisors (2988633824992).

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

2001010112000 is an frugal number, since it uses more digits than its factorization.

2001010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31265816 (or 31265790 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001010112000 its reverse (2110101002), we get a palindrome (2003120213002).

The spelling of 2001010112000 in words is "two trillion, one billion, ten million, one hundred twelve thousand".