100001000000000 has 400 divisors, whose sum is σ = 272493604909152. Its totient is φ = 36360000000000.

The previous prime is 100000999999981. The next prime is 100001000000059. The reversal of 100001000000000 is 100001.

It is a sliding number, since 100001000000000 = 1000000000 + 100000000000000 and 1/1000000000 + 1/100000000000000 = 0.00000000100001000000000.

It is a tau number, because it is divible by the number of its divisors (400).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10999995455 + ... + 11000004545.

Almost surely, 2^{100001000000000} is an apocalyptic number.

100001000000000 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 100001000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136246802454576).

100001000000000 is an abundant number, since it is smaller than the sum of its proper divisors (172492604909152).

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

100001000000000 is an frugal number, since it uses more digits than its factorization.

100001000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9165 (or 9109 counting only the distinct ones).

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

Adding to 100001000000000 its reverse (100001), we get a palindrome (100001000100001).

100001000000000 divided by its reverse (100001) gives a 9-th power (1000000000 = 10⁹).

The spelling of 100001000000000 in words is "one hundred trillion, one billion", and thus it is an aban number.