2001002112 has 48 divisors (see below), whose sum is σ = 5758095330. Its totient is φ = 667000320.

The previous prime is 2001002077. The next prime is 2001002137. The reversal of 2001002112 is 2112001002.

It can be written as a sum of positive squares in only one way, i.e., 1952225856 + 48776256 = 44184^2 + 6984^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2001002094 and 2001002103.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 867339 + ... + 869642.

Almost surely, 2^2001002112 is an apocalyptic number.

It is an amenable number.

2001002112 is an abundant number, since it is smaller than the sum of its proper divisors (3757093218).

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

2001002112 is a wasteful number, since it uses less digits than its factorization.

2001002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737001 (or 1736986 counting only the distinct ones).

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

The square root of 2001002112 is about 44732.5620996607. The cubic root of 2001002112 is about 1260.1314450927.

Adding to 2001002112 its reverse (2112001002), we get a palindrome (4113003114).

The spelling of 2001002112 in words is "two billion, one million, two thousand, one hundred twelve".