2002120221112 has 64 divisors (see below), whose sum is σ = 4123523001600. Its totient is φ = 903774240000.

The previous prime is 2002120221071. The next prime is 2002120221149. The reversal of 2002120221112 is 2111220212002.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 52215964 + ... + 52254292.

It is an arithmetic number, because the mean of its divisors is an integer number (64430046900).

Almost surely, 2^{2002120221112} is an apocalyptic number.

2002120221112 is a gapful number since it is divisible by the number (22) 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 2002120221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061761500800).

2002120221112 is an abundant number, since it is smaller than the sum of its proper divisors (2121402780488).

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

2002120221112 is a wasteful number, since it uses less digits than its factorization.

2002120221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42428 (or 42424 counting only the distinct ones).

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

Adding to 2002120221112 its reverse (2111220212002), we get a palindrome (4113340433114).

The spelling of 2002120221112 in words is "two trillion, two billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twelve".