201102223200 has 144 divisors (see below), whose sum is σ = 654765498576. Its totient is φ = 53612697600.

The previous prime is 201102223121. The next prime is 201102223213. The reversal of 201102223200 is 2322201102.

It is a happy number.

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 201102223200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11081334 + ... + 11099466.

It is an arithmetic number, because the mean of its divisors is an integer number (4546982629).

Almost surely, 2^201102223200 is an apocalyptic number.

201102223200 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 201102223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327382749288).

201102223200 is an abundant number, since it is smaller than the sum of its proper divisors (453663275376).

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

201102223200 is a wasteful number, since it uses less digits than its factorization.

201102223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22777 (or 22764 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201102223200 its reverse (2322201102), we get a palindrome (203424424302).

The spelling of 201102223200 in words is "two hundred one billion, one hundred two million, two hundred twenty-three thousand, two hundred".