10002000100000 has 324 divisors, whose sum is σ = 25137980218638. Its totient is φ = 3917191680000.

The previous prime is 10002000099947. The next prime is 10002000100013. The reversal of 10002000100000 is 100020001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 27 ways, for example, as 9631513627024 + 370486472976 = 3103468^2 + 608676^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

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 53 ways as a sum of consecutive naturals, for example, 73007299932 + ... + 73007300068.

Almost surely, 2^{10002000100000} is an apocalyptic number.

10002000100000 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 10002000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568990109319).

10002000100000 is an abundant number, since it is smaller than the sum of its proper divisors (15135980118638).

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

10002000100000 is an frugal number, since it uses more digits than its factorization.

10002000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 10002000100000 its reverse (100020001), we get a palindrome (10002100120001).

10002000100000 divided by its reverse (100020001) gives a 5-th power (100000 = 10⁵).

The spelling of 10002000100000 in words is "ten trillion, two billion, one hundred thousand".