102002131230032 has 80 divisors (see below), whose sum is σ = 217573023542400. Its totient is φ = 45940957969920.

The previous prime is 102002131229993. The next prime is 102002131230061. The reversal of 102002131230032 is 230032131200201.

It is a junction number, because it is equal to n+sod(n) for n = 102002131229986 and 102002131230013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4778594 + ... + 15061182.

It is an arithmetic number, because the mean of its divisors is an integer number (2719662794280).

Almost surely, 2^{102002131230032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002131230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108786511771200).

102002131230032 is an abundant number, since it is smaller than the sum of its proper divisors (115570892312368).

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

102002131230032 is a wasteful number, since it uses less digits than its factorization.

102002131230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283124 (or 10283118 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102002131230032 its reverse (230032131200201), we get a palindrome (332034262430233).

The spelling of 102002131230032 in words is "one hundred two trillion, two billion, one hundred thirty-one million, two hundred thirty thousand, thirty-two".