100201121212000 has 96 divisors (see below), whose sum is σ = 246285805409280. Its totient is φ = 40065527756800.

The previous prime is 100201121211857. The next prime is 100201121212021. The reversal of 100201121212000 is 212121102001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6086616 + ... + 15409384.

It is an arithmetic number, because the mean of its divisors is an integer number (2565477139680).

Almost surely, 2^{100201121212000} is an apocalyptic number.

100201121212000 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 100201121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123142902704640).

100201121212000 is an abundant number, since it is smaller than the sum of its proper divisors (146084684197280).

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

100201121212000 is an equidigital number, since it uses as much as digits as its factorization.

100201121212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325481 (or 9325463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100201121212000 its reverse (212121102001), we get a palindrome (100413242314001).

The spelling of 100201121212000 in words is "one hundred trillion, two hundred one billion, one hundred twenty-one million, two hundred twelve thousand".