10000000100000 has 144 divisors (see below), whose sum is σ = 26055322337016. Its totient is φ = 3764705280000.

The previous prime is 10000000099987. The next prime is 10000000100011. The reversal of 10000000100000 is 100000001.

It can be written as a sum of positive squares in 12 ways, for example, as 1906862715664 + 8093137384336 = 1380892^2 + 2844844^2 .

It is a sliding number, since 10000000100000 = 100000 + 10000000000000 and 1/100000 + 1/10000000000000 = 0.000010000000100000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1241177 + ... + 4641176.

Almost surely, 2^{10000000100000} is an apocalyptic number.

10000000100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000000100000 is an abundant number, since it is smaller than the sum of its proper divisors (16055322237016).

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

10000000100000 is an frugal number, since it uses more digits than its factorization.

10000000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882405 (or 5882377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 10000000100000 its reverse (100000001), we get a palindrome (10000100100001).

Subtracting from 10000000100000 its reverse (100000001), we obtain a palindrome (9999900099999).

10000000100000 divided by its reverse (100000001) gives a 5-th power (100000 = 10⁵).

The spelling of 10000000100000 in words is "ten trillion, one hundred thousand".