100113201210000 has 800 divisors, whose sum is σ = 356671809686016. Its totient is φ = 23988224000000.

The previous prime is 100113201209953. The next prime is 100113201210017. The reversal of 100113201210000 is 12102311001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11110105495 + ... + 11110114505.

Almost surely, 2^{100113201210000} is an apocalyptic number.

100113201210000 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 100113201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178335904843008).

100113201210000 is an abundant number, since it is smaller than the sum of its proper divisors (256558608476016).

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

100113201210000 is a wasteful number, since it uses less digits than its factorization.

100113201210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100113201210000 its reverse (12102311001), we get a palindrome (100125303521001).

The spelling of 100113201210000 in words is "one hundred trillion, one hundred thirteen billion, two hundred one million, two hundred ten thousand".