101100531321 has 16 divisors (see below), whose sum is σ = 153261789120. Its totient is φ = 65832903360.

The previous prime is 101100531269. The next prime is 101100531347. The reversal of 101100531321 is 123135001101.

101100531321 is a `hidden beast` number, since 1 + 0 + 1 + 100 + 531 + 32 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-101100531321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100531294 and 101100531303.

It is not an unprimeable number, because it can be changed into a prime (101100531391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43539120 + ... + 43541441.

It is an arithmetic number, because the mean of its divisors is an integer number (9578861820).

Almost surely, 2^101100531321 is an apocalyptic number.

It is an amenable number.

101100531321 is a deficient number, since it is larger than the sum of its proper divisors (52161257799).

101100531321 is an equidigital number, since it uses as much as digits as its factorization.

101100531321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87080613 (or 87080607 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 101100531321 its reverse (123135001101), we get a palindrome (224235532422).

The spelling of 101100531321 in words is "one hundred one billion, one hundred million, five hundred thirty-one thousand, three hundred twenty-one".