102301111131232 has 288 divisors, whose sum is σ = 220878846397440. Its totient is φ = 46617465323520.

The previous prime is 102301111131151. The next prime is 102301111131251. The reversal of 102301111131232 is 232131111103201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87362178007 + ... + 87362179177.

It is an arithmetic number, because the mean of its divisors is an integer number (766940438880).

Almost surely, 2^{102301111131232} 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 102301111131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110439423198720).

102301111131232 is an abundant number, since it is smaller than the sum of its proper divisors (118577735266208).

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

102301111131232 is a wasteful number, since it uses less digits than its factorization.

102301111131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 102301111131232 its reverse (232131111103201), we get a palindrome (334432222234433).

The spelling of 102301111131232 in words is "one hundred two trillion, three hundred one billion, one hundred eleven million, one hundred thirty-one thousand, two hundred thirty-two".