10002203331120 has 960 divisors, whose sum is σ = 46319909336064. Its totient is φ = 1866648084480.

The previous prime is 10002203331097. The next prime is 10002203331137. The reversal of 10002203331120 is 2113330220001.

10002203331120 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 220 + 333 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10002203331093 and 10002203331102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26479099 + ... + 26854181.

Almost surely, 2^{10002203331120} is an apocalyptic number.

10002203331120 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 10002203331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23159954668032).

10002203331120 is an abundant number, since it is smaller than the sum of its proper divisors (36317706004944).

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

10002203331120 is a wasteful number, since it uses less digits than its factorization.

10002203331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375170 (or 375161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10002203331120 its reverse (2113330220001), we get a palindrome (12115533551121).

The spelling of 10002203331120 in words is "ten trillion, two billion, two hundred three million, three hundred thirty-one thousand, one hundred twenty".