102041524512 has 144 divisors (see below), whose sum is σ = 293019959232. Its totient is φ = 33682521600.

The previous prime is 102041524477. The next prime is 102041524537. The reversal of 102041524512 is 215425140201.

It is a happy number.

102041524512 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 415 + 245 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13877637 + ... + 13884987.

It is an arithmetic number, because the mean of its divisors is an integer number (2034860828).

Almost surely, 2^102041524512 is an apocalyptic number.

102041524512 is a gapful number since it is divisible by the number (12) 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 102041524512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146509979616).

102041524512 is an abundant number, since it is smaller than the sum of its proper divisors (190978434720).

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

102041524512 is a wasteful number, since it uses less digits than its factorization.

102041524512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 102041524512 its reverse (215425140201), we get a palindrome (317466664713).

The spelling of 102041524512 in words is "one hundred two billion, forty-one million, five hundred twenty-four thousand, five hundred twelve".