10002002120 has 64 divisors (see below), whose sum is σ = 24612638400. Its totient is φ = 3627866880.

The previous prime is 10002002089. The next prime is 10002002149. The reversal of 10002002120 is 2120020001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10002002098 and 10002002107.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146051 + ... + 203309.

It is an arithmetic number, because the mean of its divisors is an integer number (384572475).

Almost surely, 2^10002002120 is an apocalyptic number.

10002002120 is a gapful number since it is divisible by the number (10) 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 10002002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306319200).

10002002120 is an abundant number, since it is smaller than the sum of its proper divisors (14610636280).

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

10002002120 is a wasteful number, since it uses less digits than its factorization.

10002002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57678 (or 57674 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10002002120 its reverse (2120020001), we get a palindrome (12122022121).

The spelling of 10002002120 in words is "ten billion, two million, two thousand, one hundred twenty".