102241434000 has 320 divisors, whose sum is σ = 358462271232. Its totient is φ = 24966144000.

The previous prime is 102241433989. The next prime is 102241434007. The reversal of 102241434000 is 434142201.

It is not an unprimeable number, because it can be changed into a prime (102241434007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3760455 + ... + 3787545.

Almost surely, 2^102241434000 is an apocalyptic number.

102241434000 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 102241434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179231135616).

102241434000 is an abundant number, since it is smaller than the sum of its proper divisors (256220837232).

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

102241434000 is a wasteful number, since it uses less digits than its factorization.

102241434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27171 (or 27155 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102241434000 its reverse (434142201), we get a palindrome (102675576201).

The spelling of 102241434000 in words is "one hundred two billion, two hundred forty-one million, four hundred thirty-four thousand".