201001212101200 has 120 divisors (see below), whose sum is σ = 551988075323520. Its totient is φ = 68902691827200.

The previous prime is 201001212101191. The next prime is 201001212101231. The reversal of 201001212101200 is 2101212100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9822741 + ... + 22326859.

It is an arithmetic number, because the mean of its divisors is an integer number (4599900627696).

Almost surely, 2^{201001212101200} is an apocalyptic number.

201001212101200 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 201001212101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275994037661760).

201001212101200 is an abundant number, since it is smaller than the sum of its proper divisors (350986863222320).

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

201001212101200 is a wasteful number, since it uses less digits than its factorization.

201001212101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509885 (or 12509874 counting only the distinct ones).

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

Adding to 201001212101200 its reverse (2101212100102), we get a palindrome (203102424201302).

The spelling of 201001212101200 in words is "two hundred one trillion, one billion, two hundred twelve million, one hundred one thousand, two hundred".