101234321 has 4 divisors (see below), whose sum is σ = 101263332. Its totient is φ = 101205312.

The previous prime is 101234297. The next prime is 101234347. The reversal of 101234321 is 123432101.

101234321 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123432101 = 13 ⋅9494777.

It can be written as a sum of positive squares in 2 ways, for example, as 62980096 + 38254225 = 7936^2 + 6185^2 .

It is a cyclic number.

It is not a de Polignac number, because 101234321 - 2¹⁴ = 101217937 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101234321.

It is not an unprimeable number, because it can be changed into a prime (101234351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8420 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (25315833).

Almost surely, 2^101234321 is an apocalyptic number.

It is an amenable number.

101234321 is a deficient number, since it is larger than the sum of its proper divisors (29011).

101234321 is an equidigital number, since it uses as much as digits as its factorization.

101234321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29010.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 101234321 is about 10061.5267728114. The cubic root of 101234321 is about 466.0608162321.

Adding to 101234321 its reverse (123432101), we get a palindrome (224666422).

The spelling of 101234321 in words is "one hundred one million, two hundred thirty-four thousand, three hundred twenty-one".