10002120103320 has 128 divisors (see below), whose sum is σ = 30832833090240. Its totient is φ = 2593840250880.

The previous prime is 10002120103303. The next prime is 10002120103331. The reversal of 10002120103320 is 2330102120001.

It is a super-2 number, since 2×10002120103320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10002120103320.

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 31 ways as a sum of consecutive naturals, for example, 8283760 + ... + 9414080.

Almost surely, 2^{10002120103320} is an apocalyptic number.

10002120103320 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 10002120103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416416545120).

10002120103320 is an abundant number, since it is smaller than the sum of its proper divisors (20830712986920).

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

10002120103320 is a wasteful number, since it uses less digits than its factorization.

10002120103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132365 (or 1132361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10002120103320 its reverse (2330102120001), we get a palindrome (12332222223321).

The spelling of 10002120103320 in words is "ten trillion, two billion, one hundred twenty million, one hundred three thousand, three hundred twenty".