201100216087200 has 576 divisors, whose sum is σ = 677731128931584. Its totient is φ = 51759206400000.

The previous prime is 201100216087153. The next prime is 201100216087237. The reversal of 201100216087200 is 2780612001102.

201100216087200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10753437850 + ... + 10753456550.

It is an arithmetic number, because the mean of its divisors is an integer number (1176616543284).

Almost surely, 2^{201100216087200} is an apocalyptic number.

201100216087200 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 201100216087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338865564465792).

201100216087200 is an abundant number, since it is smaller than the sum of its proper divisors (476630912844384).

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

201100216087200 is a wasteful number, since it uses less digits than its factorization.

201100216087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19929 (or 19916 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

Adding to 201100216087200 its reverse (2780612001102), we get a palindrome (203880828088302).

The spelling of 201100216087200 in words is "two hundred one trillion, one hundred billion, two hundred sixteen million, eighty-seven thousand, two hundred".