100201220112000 has 1024 divisors, whose sum is σ = 381894996188160. Its totient is φ = 22766262681600.

The previous prime is 100201220111969. The next prime is 100201220112047. The reversal of 100201220112000 is 211022102001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56387855112 + ... + 56387856888.

It is an arithmetic number, because the mean of its divisors is an integer number (372944332215).

Almost surely, 2^{100201220112000} is an apocalyptic number.

100201220112000 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 100201220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190947498094080).

100201220112000 is an abundant number, since it is smaller than the sum of its proper divisors (281693776076160).

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

100201220112000 is a wasteful number, since it uses less digits than its factorization.

100201220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201220112000 its reverse (211022102001), we get a palindrome (100412242214001).

The spelling of 100201220112000 in words is "one hundred trillion, two hundred one billion, two hundred twenty million, one hundred twelve thousand".