102144312124400 has 240 divisors, whose sum is σ = 317929342886400. Its totient is φ = 30625570298880.

The previous prime is 102144312124399. The next prime is 102144312124403. The reversal of 102144312124400 is 4421213441201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102144312124403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73154780 + ... + 74537979.

It is an arithmetic number, because the mean of its divisors is an integer number (1324705595360).

Almost surely, 2^{102144312124400} is an apocalyptic number.

102144312124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102144312124400 is an abundant number, since it is smaller than the sum of its proper divisors (215785030762000).

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

102144312124400 is a wasteful number, since it uses less digits than its factorization.

102144312124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147692816 (or 147692805 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 102144312124400 its reverse (4421213441201), we get a palindrome (106565525565601).

The spelling of 102144312124400 in words is "one hundred two trillion, one hundred forty-four billion, three hundred twelve million, one hundred twenty-four thousand, four hundred".