100000010000000 has 256 divisors, whose sum is σ = 271661562357120. Its totient is φ = 36363600000000.

The previous prime is 100000009999999. The next prime is 100000010000003. The reversal of 100000010000000 is 10000001.

Added to its reverse (10000001) it gives a square (100000020000001 = 10000001²).

It is a sliding number, since 100000010000000 = 10000000 + 100000000000000 and 1/10000000 + 1/100000000000000 = 0.000000100000010000000.

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 not an unprimeable number, because it can be changed into a prime (100000010000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109545455 + ... + 110454545.

Almost surely, 2^{100000010000000} is an apocalyptic number.

100000010000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10000000×10000001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135830781178560).

100000010000000 is an abundant number, since it is smaller than the sum of its proper divisors (171661552357120).

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

100000010000000 is an frugal number, since it uses more digits than its factorization.

100000010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909151 (or 909109 counting only the distinct ones).

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

Adding to 100000010000000 its reverse (10000001), we get a palindrome (100000020000001).

Subtracting from 100000010000000 its reverse (10000001), we obtain a palindrome (99999999999999).

100000010000000 divided by its reverse (10000001) gives a 7-th power (10000000 = 10⁷).

The spelling of 100000010000000 in words is "one hundred trillion, ten million", and thus it is an aban number.