201001100112000 has 384 divisors, whose sum is σ = 723780636012720. Its totient is φ = 53456578560000.

The previous prime is 201001100111939. The next prime is 201001100112013. The reversal of 201001100112000 is 211001100102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23085411153984 + 177915688958016 = 4804728^2 + 13338504^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51840900 + ... + 55583100.

Almost surely, 2^{201001100112000} is an apocalyptic number.

201001100112000 is a gapful number since it is divisible by the number (20) 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 201001100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361890318006360).

201001100112000 is an abundant number, since it is smaller than the sum of its proper divisors (522779535900720).

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

201001100112000 is a wasteful number, since it uses less digits than its factorization.

201001100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742609 (or 3742584 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201001100112000 its reverse (211001100102), we get a palindrome (201212101212102).

It can be divided in two parts, 201001 and 100112000, that added together give a palindrome (100313001).

The spelling of 201001100112000 in words is "two hundred one trillion, one billion, one hundred million, one hundred twelve thousand".