101321100130032 has 60 divisors (see below), whose sum is σ = 298482480654280. Its totient is φ = 31996136882304.

The previous prime is 101321100130001. The next prime is 101321100130057. The reversal of 101321100130032 is 230031001123101.

101321100130032 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 10 + 0 + 1 + 300 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101321100129987 and 101321100130014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18516280183 + ... + 18516285654.

Almost surely, 2^{101321100130032} is an apocalyptic number.

101321100130032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101321100130032 is an abundant number, since it is smaller than the sum of its proper divisors (197161380524248).

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

101321100130032 is a wasteful number, since it uses less digits than its factorization.

101321100130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37032565870 (or 37032565861 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101321100130032 its reverse (230031001123101), we get a palindrome (331352101253133).

The spelling of 101321100130032 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred million, one hundred thirty thousand, thirty-two".