102015240000 has 280 divisors, whose sum is σ = 338638700928. Its totient is φ = 27095040000.

The previous prime is 102015239959. The next prime is 102015240001. The reversal of 102015240000 is 42510201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102015240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32518432 + ... + 32521568.

Almost surely, 2^102015240000 is an apocalyptic number.

102015240000 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 102015240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169319350464).

102015240000 is an abundant number, since it is smaller than the sum of its proper divisors (236623460928).

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

102015240000 is an equidigital number, since it uses as much as digits as its factorization.

102015240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 102015240000 its reverse (42510201), we get a palindrome (102057750201).

The spelling of 102015240000 in words is "one hundred two billion, fifteen million, two hundred forty thousand".