2001120100032 has 112 divisors (see below), whose sum is σ = 5585389286400. Its totient is φ = 630561346560.

The previous prime is 2001120100027. The next prime is 2001120100033. The reversal of 2001120100032 is 2300010211002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001120099990 and 2001120100017.

It is not an unprimeable number, because it can be changed into a prime (2001120100033) 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, 1086769 + ... + 2276687.

It is an arithmetic number, because the mean of its divisors is an integer number (49869547200).

Almost surely, 2^{2001120100032} 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 2001120100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792694643200).

2001120100032 is an abundant number, since it is smaller than the sum of its proper divisors (3584269186368).

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

2001120100032 is a wasteful number, since it uses less digits than its factorization.

2001120100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190414 (or 1190404 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2001120100032 its reverse (2300010211002), we get a palindrome (4301130311034).

The spelling of 2001120100032 in words is "two trillion, one billion, one hundred twenty million, one hundred thousand, thirty-two".