2002000001112 has 96 divisors (see below), whose sum is σ = 5439332808000. Its totient is φ = 665211543552.

The previous prime is 2002000001081. The next prime is 2002000001117. The reversal of 2002000001112 is 2111000002002.

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 = 2002000001094 and 2002000001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000001117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93641368 + ... + 93662744.

It is an arithmetic number, because the mean of its divisors is an integer number (56659716750).

Almost surely, 2^{2002000001112} is an apocalyptic number.

It is an amenable number.

2002000001112 is an abundant number, since it is smaller than the sum of its proper divisors (3437332806888).

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

2002000001112 is a wasteful number, since it uses less digits than its factorization.

2002000001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25465 (or 25458 counting only the distinct ones).

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

Adding to 2002000001112 its reverse (2111000002002), we get a palindrome (4113000003114).

The spelling of 2002000001112 in words is "two trillion, two billion, one thousand, one hundred twelve".