101012321 has 2 divisors, whose sum is σ = 101012322. Its totient is φ = 101012320.

The previous prime is 101012293. The next prime is 101012333. The reversal of 101012321 is 123210101.

101012321 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64240225 + 36772096 = 8015^2 + 6064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012321 is a prime.

It is a Chen prime.

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

It is not a weakly prime, because it can be changed into another prime (101012381) 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 as a sum of consecutive naturals, namely, 50506160 + 50506161.

It is an arithmetic number, because the mean of its divisors is an integer number (50506161).

Almost surely, 2^101012321 is an apocalyptic number.

It is an amenable number.

101012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012321 is an equidigital number, since it uses as much as digits as its factorization.

101012321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101012321 is about 10050.4885950883. The cubic root of 101012321 is about 465.7198869788.

Adding to 101012321 its reverse (123210101), we get a palindrome (224222422).

It can be divided in two parts, 1010 and 12321, that added together give a palindrome (13331).

The spelling of 101012321 in words is "one hundred one million, twelve thousand, three hundred twenty-one".