201022100224 has 144 divisors (see below), whose sum is σ = 443176269984. Its totient is φ = 90243072000.

The previous prime is 201022100197. The next prime is 201022100233. The reversal of 201022100224 is 422001220102.

201022100224 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 201022100198 and 201022100207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174346432 + ... + 174347584.

It is an arithmetic number, because the mean of its divisors is an integer number (3077612986).

Almost surely, 2^201022100224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201022100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221588134992).

201022100224 is an abundant number, since it is smaller than the sum of its proper divisors (242154169760).

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

201022100224 is a wasteful number, since it uses less digits than its factorization.

201022100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201022100224 its reverse (422001220102), we get a palindrome (623023320326).

The spelling of 201022100224 in words is "two hundred one billion, twenty-two million, one hundred thousand, two hundred twenty-four".