102130041413400 has 768 divisors, whose sum is σ = 425298229171200. Its totient is φ = 19579760640000.

The previous prime is 102130041413359. The next prime is 102130041413443. The reversal of 102130041413400 is 4314140031201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1254612700 + ... + 1254694100.

It is an arithmetic number, because the mean of its divisors is an integer number (553773735900).

Almost surely, 2^{102130041413400} is an apocalyptic number.

102130041413400 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 102130041413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212649114585600).

102130041413400 is an abundant number, since it is smaller than the sum of its proper divisors (323168187757800).

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

102130041413400 is a wasteful number, since it uses less digits than its factorization.

102130041413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83540 (or 83531 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102130041413400 its reverse (4314140031201), we get a palindrome (106444181444601).

The spelling of 102130041413400 in words is "one hundred two trillion, one hundred thirty billion, forty-one million, four hundred thirteen thousand, four hundred".