201010212000 has 288 divisors, whose sum is σ = 768262818960. Its totient is φ = 49479321600.

The previous prime is 201010211957. The next prime is 201010212001. The reversal of 201010212000 is 212010102.

It can be written as a sum of positive squares in 8 ways, for example, as 22821540624 + 178188671376 = 151068^2 + 422124^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (201010212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253246 + ... + 682754.

Almost surely, 2^201010212000 is an apocalyptic number.

201010212000 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 201010212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384131409480).

201010212000 is an abundant number, since it is smaller than the sum of its proper divisors (567252606960).

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

201010212000 is a wasteful number, since it uses less digits than its factorization.

201010212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429553 (or 429532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201010212000 its reverse (212010102), we get a palindrome (201222222102).

The spelling of 201010212000 in words is "two hundred one billion, ten million, two hundred twelve thousand".