101100133232 has 80 divisors (see below), whose sum is σ = 226727155200. Its totient is φ = 42778056960.

The previous prime is 101100133177. The next prime is 101100133259. The reversal of 101100133232 is 232331001101.

It is a self number, because there is not a number n which added to its sum of digits gives 101100133232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2799869 + ... + 2835747.

It is an arithmetic number, because the mean of its divisors is an integer number (2834089440).

Almost surely, 2^101100133232 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 101100133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113363577600).

101100133232 is an abundant number, since it is smaller than the sum of its proper divisors (125627021968).

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

101100133232 is a wasteful number, since it uses less digits than its factorization.

101100133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36214 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101100133232 its reverse (232331001101), we get a palindrome (333431134333).

The spelling of 101100133232 in words is "one hundred one billion, one hundred million, one hundred thirty-three thousand, two hundred thirty-two".