10010200224 has 96 divisors (see below), whose sum is σ = 27038563776. Its totient is φ = 3240345600.

The previous prime is 10010200183. The next prime is 10010200247. The reversal of 10010200224 is 42200201001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082624 + ... + 2087424.

It is an arithmetic number, because the mean of its divisors is an integer number (281651706).

Almost surely, 2^10010200224 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 10010200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519281888).

10010200224 is an abundant number, since it is smaller than the sum of its proper divisors (17028363552).

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

10010200224 is a wasteful number, since it uses less digits than its factorization.

10010200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10010200224 its reverse (42200201001), we get a palindrome (52210401225).

The spelling of 10010200224 in words is "ten billion, ten million, two hundred thousand, two hundred twenty-four".