2002110112002 has 288 divisors, whose sum is σ = 5450974671744. Its totient is φ = 477032878080.

The previous prime is 2002110111919. The next prime is 2002110112007.

2002110112002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2002110112007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5671699858 + ... + 5671700210.

It is an arithmetic number, because the mean of its divisors is an integer number (18926995388).

Almost surely, 2^{2002110112002} is an apocalyptic number.

2002110112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002110112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725487335872).

2002110112002 is an abundant number, since it is smaller than the sum of its proper divisors (3448864559742).

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

2002110112002 is a wasteful number, since it uses less digits than its factorization.

2002110112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2002110 and 112002, that added together give a palindrome (2114112).

The spelling of 2002110112002 in words is "two trillion, two billion, one hundred ten million, one hundred twelve thousand, two".