201010212120000 has 560 divisors, whose sum is σ = 700348863025152. Its totient is φ = 50764454400000.

The previous prime is 201010212119971. The next prime is 201010212120007. The reversal of 201010212120000 is 21212010102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010212120007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 278399457 + ... + 279120543.

Almost surely, 2^{201010212120000} is an apocalyptic number.

201010212120000 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 201010212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350174431512576).

201010212120000 is an abundant number, since it is smaller than the sum of its proper divisors (499338650905152).

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

201010212120000 is a wasteful number, since it uses less digits than its factorization.

201010212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721246 (or 721221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201010212120000 its reverse (21212010102), we get a palindrome (201031424130102).

The spelling of 201010212120000 in words is "two hundred one trillion, ten billion, two hundred twelve million, one hundred twenty thousand".