2002010120000 has 560 divisors, whose sum is σ = 5580625628160. Its totient is φ = 706118400000.

The previous prime is 2002010119999. The next prime is 2002010120041. The reversal of 2002010120000 is 210102002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2002010120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2709079631 + ... + 2709080369.

Almost surely, 2^{2002010120000} is an apocalyptic number.

2002010120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790312814080).

2002010120000 is an abundant number, since it is smaller than the sum of its proper divisors (3578615508160).

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

2002010120000 is a wasteful number, since it uses less digits than its factorization.

2002010120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 935 counting only the distinct ones).

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

Adding to 2002010120000 its reverse (210102002), we get a palindrome (2002220222002).

The spelling of 2002010120000 in words is "two trillion, two billion, ten million, one hundred twenty thousand".