201021210210000 has 200 divisors, whose sum is σ = 648966654820000. Its totient is φ = 53602072128000.

The previous prime is 201021210209977. The next prime is 201021210210001. The reversal of 201021210210000 is 12012120102.

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

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 (201021210210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 464573751 + ... + 465006249.

It is an arithmetic number, because the mean of its divisors is an integer number (3244833274100).

Almost surely, 2^{201021210210000} is an apocalyptic number.

201021210210000 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 201021210210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324483327410000).

201021210210000 is an abundant number, since it is smaller than the sum of its proper divisors (447945444610000).

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

201021210210000 is a wasteful number, since it uses less digits than its factorization.

201021210210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448023 (or 448002 counting only the distinct ones).

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

Adding to 201021210210000 its reverse (12012120102), we get a palindrome (201033222330102).

The spelling of 201021210210000 in words is "two hundred one trillion, twenty-one billion, two hundred ten million, two hundred ten thousand".