102414132520000 has 280 divisors, whose sum is σ = 290829221158784. Its totient is φ = 35041268736000.

The previous prime is 102414132519977. The next prime is 102414132520013. The reversal of 102414132520000 is 25231414201.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135984472 + ... + 136735528.

Almost surely, 2^{102414132520000} is an apocalyptic number.

102414132520000 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 102414132520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145414610579392).

102414132520000 is an abundant number, since it is smaller than the sum of its proper divisors (188415088638784).

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

102414132520000 is an frugal number, since it uses more digits than its factorization.

102414132520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751583 (or 751558 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 102414132520000 its reverse (25231414201), we get a palindrome (102439363934201).

The spelling of 102414132520000 in words is "one hundred two trillion, four hundred fourteen billion, one hundred thirty-two million, five hundred twenty thousand".