10117221600 has 144 divisors (see below), whose sum is σ = 34363550592. Its totient is φ = 2580610560.

The previous prime is 10117221581. The next prime is 10117221601. The reversal of 10117221600 is 612271101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117221601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36442 + ... + 146841.

It is an arithmetic number, because the mean of its divisors is an integer number (238635768).

Almost surely, 2^10117221600 is an apocalyptic number.

10117221600 is a gapful number since it is divisible by the number (10) 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 10117221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17181775296).

10117221600 is an abundant number, since it is smaller than the sum of its proper divisors (24246328992).

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

10117221600 is a wasteful number, since it uses less digits than its factorization.

10117221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183329 (or 183316 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 10117221600 its reverse (612271101), we get a palindrome (10729492701).

The spelling of 10117221600 in words is "ten billion, one hundred seventeen million, two hundred twenty-one thousand, six hundred".