2002221112120 has 128 divisors (see below), whose sum is σ = 4610153413440. Its totient is φ = 782383472640.

The previous prime is 2002221112093. The next prime is 2002221112163. The reversal of 2002221112120 is 212111222002.

It is a happy number.

It is a super-2 number, since 2×2002221112120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002221112094 and 2002221112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541578112 + ... + 541581808.

Almost surely, 2^{2002221112120} is an apocalyptic number.

2002221112120 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 2002221112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305076706720).

2002221112120 is an abundant number, since it is smaller than the sum of its proper divisors (2607932301320).

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

2002221112120 is a wasteful number, since it uses less digits than its factorization.

2002221112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2002221112120 its reverse (212111222002), we get a palindrome (2214332334122).

The spelling of 2002221112120 in words is "two trillion, two billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".