102134130224000 has 128 divisors (see below), whose sum is σ = 290206836054720. Its totient is φ = 35017416038400.

The previous prime is 102134130223987. The next prime is 102134130224051. The reversal of 102134130224000 is 422031431201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×102134130224000² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 455843939 + ... + 456067938.

Almost surely, 2^{102134130224000} is an apocalyptic number.

102134130224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102134130224000 is an abundant number, since it is smaller than the sum of its proper divisors (188072705830720).

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

102134130224000 is an frugal number, since it uses more digits than its factorization.

102134130224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911911913 (or 911911891 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 102134130224000 its reverse (422031431201), we get a palindrome (102556161655201).

The spelling of 102134130224000 in words is "one hundred two trillion, one hundred thirty-four billion, one hundred thirty million, two hundred twenty-four thousand".