2001112000020 has 240 divisors, whose sum is σ = 7175871816960. Its totient is φ = 457300463616.

The previous prime is 2001112000007. The next prime is 2001112000021. The reversal of 2001112000020 is 200002111002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001111999966 and 2001112000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001112000021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63136617 + ... + 63168303.

It is an arithmetic number, because the mean of its divisors is an integer number (29899465904).

Almost surely, 2^{2001112000020} is an apocalyptic number.

2001112000020 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 2001112000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587935908480).

2001112000020 is an abundant number, since it is smaller than the sum of its proper divisors (5174759816940).

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

2001112000020 is a wasteful number, since it uses less digits than its factorization.

2001112000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37284 (or 37273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001112000020 its reverse (200002111002), we get a palindrome (2201114111022).

The spelling of 2001112000020 in words is "two trillion, one billion, one hundred twelve million, twenty", and thus it is an aban number.