10002102301120 has 112 divisors (see below), whose sum is σ = 24151853164320. Its totient is φ = 3944867188736.

The previous prime is 10002102301111. The next prime is 10002102301123. The reversal of 10002102301120 is 2110320120001.

It is a super-4 number, since 4×10002102301120⁴ (a number of 53 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10002102301120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002102301123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13149114 + ... + 13888966.

It is an arithmetic number, because the mean of its divisors is an integer number (215641546110).

Almost surely, 2^{10002102301120} is an apocalyptic number.

10002102301120 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 10002102301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12075926582160).

10002102301120 is an abundant number, since it is smaller than the sum of its proper divisors (14149750863200).

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

10002102301120 is an equidigital number, since it uses as much as digits as its factorization.

10002102301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740462 (or 740452 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10002102301120 its reverse (2110320120001), we get a palindrome (12112422421121).

The spelling of 10002102301120 in words is "ten trillion, two billion, one hundred two million, three hundred one thousand, one hundred twenty".