201101210211200 has 768 divisors, whose sum is σ = 572766939944640. Its totient is φ = 69109481472000.

The previous prime is 201101210211191. The next prime is 201101210211233. The reversal of 201101210211200 is 2112012101102.

It is a super-2 number, since 2×201101210211200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101926613414 + ... + 101926615386.

Almost surely, 2^{201101210211200} is an apocalyptic number.

201101210211200 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 201101210211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286383469972320).

201101210211200 is an abundant number, since it is smaller than the sum of its proper divisors (371665729733440).

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

201101210211200 is a wasteful number, since it uses less digits than its factorization.

201101210211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201101210211200 its reverse (2112012101102), we get a palindrome (203213222312302).

The spelling of 201101210211200 in words is "two hundred one trillion, one hundred one billion, two hundred ten million, two hundred eleven thousand, two hundred".