201012121210000 has 200 divisors, whose sum is σ = 488270480931200. Its totient is φ = 80140777920000.

The previous prime is 201012121209923. The next prime is 201012121210073. The reversal of 201012121210000 is 12121210102.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6143573641 + ... + 6143606359.

It is an arithmetic number, because the mean of its divisors is an integer number (2441352404656).

Almost surely, 2^{201012121210000} is an apocalyptic number.

201012121210000 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 201012121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244135240465600).

201012121210000 is an abundant number, since it is smaller than the sum of its proper divisors (287258359721200).

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

201012121210000 is a wasteful number, since it uses less digits than its factorization.

201012121210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34747 (or 34726 counting only the distinct ones).

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

Adding to 201012121210000 its reverse (12121210102), we get a palindrome (201024242420102).

The spelling of 201012121210000 in words is "two hundred one trillion, twelve billion, one hundred twenty-one million, two hundred ten thousand".