2002102112120 has 256 divisors, whose sum is σ = 5021469573120. Its totient is φ = 712367308800.

The previous prime is 2002102112117. The next prime is 2002102112141. The reversal of 2002102112120 is 212112012002.

It is a junction number, because it is equal to n+sod(n) for n = 2002102112095 and 2002102112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2336174732 + ... + 2336175588.

It is an arithmetic number, because the mean of its divisors is an integer number (19615115520).

Almost surely, 2^{2002102112120} is an apocalyptic number.

2002102112120 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 2002102112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510734786560).

2002102112120 is an abundant number, since it is smaller than the sum of its proper divisors (3019367461000).

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

2002102112120 is a wasteful number, since it uses less digits than its factorization.

2002102112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2002102112120 its reverse (212112012002), we get a palindrome (2214214124122).

The spelling of 2002102112120 in words is "two trillion, two billion, one hundred two million, one hundred twelve thousand, one hundred twenty".