10002000112300 has 144 divisors (see below), whose sum is σ = 25885620214272. Its totient is φ = 3279882355200.

The previous prime is 10002000112297. The next prime is 10002000112301. The reversal of 10002000112300 is 321100020001.

It is a super-2 number, since 2×10002000112300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10002000112301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291730959 + ... + 291765241.

It is an arithmetic number, because the mean of its divisors is an integer number (179761251488).

Almost surely, 2^{10002000112300} is an apocalyptic number.

10002000112300 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 10002000112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942810107136).

10002000112300 is an abundant number, since it is smaller than the sum of its proper divisors (15883620101972).

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

10002000112300 is a wasteful number, since it uses less digits than its factorization.

10002000112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52448 (or 52441 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10002000112300 its reverse (321100020001), we get a palindrome (10323100132301).

The spelling of 10002000112300 in words is "ten trillion, two billion, one hundred twelve thousand, three hundred".