102232104242000 has 80 divisors (see below), whose sum is σ = 247518684613200. Its totient is φ = 40839664435200.

The previous prime is 102232104241997. The next prime is 102232104242003. The reversal of 102232104242000 is 242401232201.

It is an interprime number because it is at equal distance from previous prime (102232104241997) and next prime (102232104242003).

It can be written as a sum of positive squares in 8 ways, for example, as 39483779766544 + 62748324475456 = 6283612^2 + 7921384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232104242003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31697405 + ... + 34773404.

It is an arithmetic number, because the mean of its divisors is an integer number (3093983557665).

Almost surely, 2^{102232104242000} is an apocalyptic number.

102232104242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102232104242000 is an abundant number, since it is smaller than the sum of its proper divisors (145286580371200).

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

102232104242000 is an equidigital number, since it uses as much as digits as its factorization.

102232104242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66471601 (or 66471585 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 102232104242000 its reverse (242401232201), we get a palindrome (102474505474201).

The spelling of 102232104242000 in words is "one hundred two trillion, two hundred thirty-two billion, one hundred four million, two hundred forty-two thousand".