201102221011200 has 216 divisors, whose sum is σ = 663766477164000. Its totient is φ = 53620208762880.

The previous prime is 201102221011187. The next prime is 201102221011247. The reversal of 201102221011200 is 2110122201102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201102221011200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146176131 + ... + 147545469.

Almost surely, 2^{201102221011200} is an apocalyptic number.

201102221011200 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 201102221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331883238582000).

201102221011200 is an abundant number, since it is smaller than the sum of its proper divisors (462664256152800).

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

201102221011200 is a wasteful number, since it uses less digits than its factorization.

201102221011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377017 (or 1376998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201102221011200 its reverse (2110122201102), we get a palindrome (203212343212302).

The spelling of 201102221011200 in words is "two hundred one trillion, one hundred two billion, two hundred twenty-one million, eleven thousand, two hundred".