102313124224400 has 120 divisors (see below), whose sum is σ = 246260503432128. Its totient is φ = 40849824960000.

The previous prime is 102313124224397. The next prime is 102313124224429. The reversal of 102313124224400 is 4422421313201.

It is a super-2 number, since 2×102313124224400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014849995 + ... + 1014950805.

Almost surely, 2^{102313124224400} is an apocalyptic number.

102313124224400 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 102313124224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123130251716064).

102313124224400 is an abundant number, since it is smaller than the sum of its proper divisors (143947379207728).

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

102313124224400 is a wasteful number, since it uses less digits than its factorization.

102313124224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105481 (or 105470 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 102313124224400 its reverse (4422421313201), we get a palindrome (106735545537601).

The spelling of 102313124224400 in words is "one hundred two trillion, three hundred thirteen billion, one hundred twenty-four million, two hundred twenty-four thousand, four hundred".