2001200020112 has 80 divisors (see below), whose sum is σ = 4094553824640. Its totient is φ = 944884030464.

The previous prime is 2001200020091. The next prime is 2001200020117. The reversal of 2001200020112 is 2110200021002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001200020093 and 2001200020102.

It is not an unprimeable number, because it can be changed into a prime (2001200020117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199975013 + ... + 199985019.

It is an arithmetic number, because the mean of its divisors is an integer number (51181922808).

Almost surely, 2^{2001200020112} 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 2001200020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047276912320).

2001200020112 is an abundant number, since it is smaller than the sum of its proper divisors (2093353804528).

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

2001200020112 is a wasteful number, since it uses less digits than its factorization.

2001200020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 12082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001200020112 its reverse (2110200021002), we get a palindrome (4111400041114).

The spelling of 2001200020112 in words is "two trillion, one billion, two hundred million, twenty thousand, one hundred twelve".