2002221120042 has 96 divisors (see below), whose sum is σ = 5100922846656. Its totient is φ = 559582732800.

The previous prime is 2002221120041. The next prime is 2002221120047. The reversal of 2002221120042 is 2400211222002.

2002221120042 is a `hidden beast` number, since 200 + 2 + 221 + 1 + 200 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002221119997 and 2002221120024.

It is not an unprimeable number, because it can be changed into a prime (2002221120041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2682018 + ... + 3346290.

It is an arithmetic number, because the mean of its divisors is an integer number (53134612986).

Almost surely, 2^{2002221120042} is an apocalyptic number.

2002221120042 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 2002221120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550461423328).

2002221120042 is an abundant number, since it is smaller than the sum of its proper divisors (3098701726614).

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

2002221120042 is a wasteful number, since it uses less digits than its factorization.

2002221120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665476 (or 665473 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2002221120042 its reverse (2400211222002), we get a palindrome (4402432342044).

The spelling of 2002221120042 in words is "two trillion, two billion, two hundred twenty-one million, one hundred twenty thousand, forty-two".