100132000000000 has 240 divisors, whose sum is σ = 250278856207380. Its totient is φ = 40051200000000.

The previous prime is 100131999999991. The next prime is 100132000000009. The reversal of 100132000000000 is 231001.

It is an interprime number because it is at equal distance from previous prime (100131999999991) and next prime (100132000000009).

It can be written as a sum of positive squares in 10 ways, for example, as 41223796171776 + 58908203828224 = 6420576^2 + 7675168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100132000000000.

It is not an unprimeable number, because it can be changed into a prime (100132000000009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3999987484 + ... + 4000012516.

Almost surely, 2^{100132000000000} is an apocalyptic number.

100132000000000 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 100132000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139428103690).

100132000000000 is an abundant number, since it is smaller than the sum of its proper divisors (150146856207380).

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

100132000000000 is an frugal number, since it uses more digits than its factorization.

100132000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25100 (or 25040 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 100132000000000 its reverse (231001), we get a palindrome (100132000231001).

The spelling of 100132000000000 in words is "one hundred trillion, one hundred thirty-two billion", and thus it is an aban number.