2002120001000 has 64 divisors (see below), whose sum is σ = 5354240935680. Its totient is φ = 686441140800.

The previous prime is 2002120000997. The next prime is 2002120001003. The reversal of 2002120001000 is 1000212002.

It is an interprime number because it is at equal distance from previous prime (2002120000997) and next prime (2002120001003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2002120001003) 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, 143001572 + ... + 143015571.

It is an arithmetic number, because the mean of its divisors is an integer number (83660014620).

Almost surely, 2^{2002120001000} is an apocalyptic number.

2002120001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002120001000 is an abundant number, since it is smaller than the sum of its proper divisors (3352120934680).

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

2002120001000 is a wasteful number, since it uses less digits than its factorization.

2002120001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286017171 (or 286017157 counting only the distinct ones).

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

Adding to 2002120001000 its reverse (1000212002), we get a palindrome (2003120213002).

The spelling of 2002120001000 in words is "two trillion, two billion, one hundred twenty million, one thousand".