102010320224 has 48 divisors (see below), whose sum is σ = 212903964000. Its totient is φ = 47946737664.

The previous prime is 102010320211. The next prime is 102010320229. The reversal of 102010320224 is 422023010201.

It is a super-2 number, since 2×102010320224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010320229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 337877 + ... + 564075.

It is an arithmetic number, because the mean of its divisors is an integer number (4435499250).

Almost surely, 2^102010320224 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 102010320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451982000).

102010320224 is an abundant number, since it is smaller than the sum of its proper divisors (110893643776).

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

102010320224 is a wasteful number, since it uses less digits than its factorization.

102010320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227055 (or 227047 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102010320224 its reverse (422023010201), we get a palindrome (524033330425).

The spelling of 102010320224 in words is "one hundred two billion, ten million, three hundred twenty thousand, two hundred twenty-four".