2002012102002 has 48 divisors (see below), whose sum is σ = 4402551827520. Its totient is φ = 606472621920.

The previous prime is 2002012101893. The next prime is 2002012102007.

2002012102002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2002012102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1787548 + ... + 2683160.

It is an arithmetic number, because the mean of its divisors is an integer number (91719829740).

Almost surely, 2^{2002012102002} is an apocalyptic number.

2002012102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002012102002 is an abundant number, since it is smaller than the sum of its proper divisors (2400539725518).

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

2002012102002 is a wasteful number, since it uses less digits than its factorization.

2002012102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898719 (or 898708 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 2002012102002 in words is "two trillion, two billion, twelve million, one hundred two thousand, two".