101201321 has 12 divisors (see below), whose sum is σ = 110033028. Its totient is φ = 92526624.

The previous prime is 101201249. The next prime is 101201339. The reversal of 101201321 is 123102101.

It can be written as a sum of positive squares in 2 ways, for example, as 58690921 + 42510400 = 7661^2 + 6520^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101201321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201521) 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 11 ways as a sum of consecutive naturals, for example, 345251 + ... + 345543.

It is an arithmetic number, because the mean of its divisors is an integer number (9169419).

Almost surely, 2^101201321 is an apocalyptic number.

It is an amenable number.

101201321 is a deficient number, since it is larger than the sum of its proper divisors (8831707).

101201321 is an equidigital number, since it uses as much as digits as its factorization.

101201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 469 counting only the distinct ones).

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

The square root of 101201321 is about 10059.8867289846. The cubic root of 101201321 is about 466.0101691187.

Adding to 101201321 its reverse (123102101), we get a palindrome (224303422).

The spelling of 101201321 in words is "one hundred one million, two hundred one thousand, three hundred twenty-one".