201010200112000 has 128 divisors (see below), whose sum is σ = 499824687304800. Its totient is φ = 80393931878400.

The previous prime is 201010200111991. The next prime is 201010200112147. The reversal of 201010200112000 is 211002010102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 126619156 + ... + 128196844.

Almost surely, 2^{201010200112000} is an apocalyptic number.

201010200112000 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 201010200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249912343652400).

201010200112000 is an abundant number, since it is smaller than the sum of its proper divisors (298814487192800).

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

201010200112000 is an equidigital number, since it uses as much as digits as its factorization.

201010200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585681 (or 1585659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201010200112000 its reverse (211002010102), we get a palindrome (201221202122102).

The spelling of 201010200112000 in words is "two hundred one trillion, ten billion, two hundred million, one hundred twelve thousand".