101132321 has 4 divisors (see below), whose sum is σ = 103040532. Its totient is φ = 99224112.

The previous prime is 101132293. The next prime is 101132333. The reversal of 101132321 is 123231101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123231101 = 7 ⋅17604443.

It can be written as a sum of positive squares in 2 ways, for example, as 52635025 + 48497296 = 7255^2 + 6964^2 .

It is a cyclic number.

It is not a de Polignac number, because 101132321 - 2⁶ = 101132257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101132296 and 101132305.

It is not an unprimeable number, because it can be changed into a prime (101132341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 954026 + ... + 954131.

It is an arithmetic number, because the mean of its divisors is an integer number (25760133).

Almost surely, 2^101132321 is an apocalyptic number.

It is an amenable number.

101132321 is a deficient number, since it is larger than the sum of its proper divisors (1908211).

101132321 is an equidigital number, since it uses as much as digits as its factorization.

101132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908210.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101132321 is about 10056.4566821520. The cubic root of 101132321 is about 465.9042350199.

Adding to 101132321 its reverse (123231101), we get a palindrome (224363422).

The spelling of 101132321 in words is "one hundred one million, one hundred thirty-two thousand, three hundred twenty-one".