2002112120020 has 12 divisors (see below), whose sum is σ = 4204435452084. Its totient is φ = 800844848000.

The previous prime is 2002112120003. The next prime is 2002112120039. The reversal of 2002112120020 is 200212112002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1334158983364 + 667953136656 = 1155058^2 + 817284^2 .

It is a super-2 number, since 2×2002112120020² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 50052802981 + ... + 50052803020.

It is an arithmetic number, because the mean of its divisors is an integer number (350369621007).

Almost surely, 2^{2002112120020} is an apocalyptic number.

2002112120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002112120020 is an abundant number, since it is smaller than the sum of its proper divisors (2202323332064).

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

2002112120020 is a wasteful number, since it uses less digits than its factorization.

2002112120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100105606010 (or 100105606008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002112120020 its reverse (200212112002), we get a palindrome (2202324232022).

The spelling of 2002112120020 in words is "two trillion, two billion, one hundred twelve million, one hundred twenty thousand, twenty".