10502122422400 has 192 divisors, whose sum is σ = 31393845665280. Its totient is φ = 3388920053760.

The previous prime is 10502122422361. The next prime is 10502122422401. The reversal of 10502122422400 is 422422120501.

It is a happy number.

It is a super-2 number, since 2×10502122422400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10502122422401) 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 23 ways as a sum of consecutive naturals, for example, 13408752 + ... + 14170351.

It is an arithmetic number, because the mean of its divisors is an integer number (163509612840).

Almost surely, 2^{10502122422400} is an apocalyptic number.

10502122422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10502122422400 is an abundant number, since it is smaller than the sum of its proper divisors (20891723242880).

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

10502122422400 is a wasteful number, since it uses less digits than its factorization.

10502122422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27579151 (or 27579134 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10502122422400 its reverse (422422120501), we get a palindrome (10924544542901).

The spelling of 10502122422400 in words is "ten trillion, five hundred two billion, one hundred twenty-two million, four hundred twenty-two thousand, four hundred".