2002002201120 has 192 divisors, whose sum is σ = 6678165626496. Its totient is φ = 502395617280.

The previous prime is 2002002201113. The next prime is 2002002201127. The reversal of 2002002201120 is 211022002002.

It is an interprime number because it is at equal distance from previous prime (2002002201113) and next prime (2002002201127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002002201096 and 2002002201105.

It is not an unprimeable number, because it can be changed into a prime (2002002201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91878867 + ... + 91900653.

It is an arithmetic number, because the mean of its divisors is an integer number (34782112638).

Almost surely, 2^{2002002201120} is an apocalyptic number.

2002002201120 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 2002002201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339082813248).

2002002201120 is an abundant number, since it is smaller than the sum of its proper divisors (4676163425376).

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

2002002201120 is a wasteful number, since it uses less digits than its factorization.

2002002201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33083 (or 33075 counting only the distinct ones).

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

Adding to 2002002201120 its reverse (211022002002), we get a palindrome (2213024203122).

The spelling of 2002002201120 in words is "two trillion, two billion, two million, two hundred one thousand, one hundred twenty".