100002000010000 has 225 divisors, whose sum is σ = 266155508348499. Its totient is φ = 36360363600000.

The previous prime is 100002000009959. The next prime is 100002000010013. The reversal of 100002000010000 is 10000200001.

The square root of 100002000010000 is 10000100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 7840156800784 + 92161843209216 = 2800028^2 + 9600096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11000105455 + ... + 11000114545.

Almost surely, 2^{100002000010000} is an apocalyptic number.

100002000010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100002000010000 is the 10000100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100002000010000

100002000010000 is an abundant number, since it is smaller than the sum of its proper divisors (166153508338499).

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

100002000010000 is an frugal number, since it uses more digits than its factorization.

100002000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18232 (or 9109 counting only the distinct ones).

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

Adding to 100002000010000 its reverse (10000200001), we get a palindrome (100012000210001).

100002000010000 divided by its reverse (10000200001) gives a 4-th power (10000 = 10⁴).

The spelling of 100002000010000 in words is "one hundred trillion, two billion, ten thousand".