101132132110304 has 96 divisors (see below), whose sum is σ = 205006178361600. Its totient is φ = 49079773670400.

The previous prime is 101132132110291. The next prime is 101132132110381. The reversal of 101132132110304 is 403011231231101.

It is a self number, because there is not a number n which added to its sum of digits gives 101132132110304.

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, 4284703367 + ... + 4284726969.

It is an arithmetic number, because the mean of its divisors is an integer number (2135481024600).

Almost surely, 2^{101132132110304} 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 101132132110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102503089180800).

101132132110304 is an abundant number, since it is smaller than the sum of its proper divisors (103874046251296).

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

101132132110304 is a wasteful number, since it uses less digits than its factorization.

101132132110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40264 (or 40256 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101132132110304 its reverse (403011231231101), we get a palindrome (504143363341405).

The spelling of 101132132110304 in words is "one hundred one trillion, one hundred thirty-two billion, one hundred thirty-two million, one hundred ten thousand, three hundred four".