122101321 has 8 divisors (see below), whose sum is σ = 127132488. Its totient is φ = 117168000.

The previous prime is 122101307. The next prime is 122101349. The reversal of 122101321 is 123101221.

It can be written as a sum of positive squares in 4 ways, for example, as 308025 + 121793296 = 555^2 + 11036^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122101321 - 2¹³ = 122093129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21910 + ... + 26911.

It is an arithmetic number, because the mean of its divisors is an integer number (15891561).

Almost surely, 2^122101321 is an apocalyptic number.

It is an amenable number.

122101321 is a deficient number, since it is larger than the sum of its proper divisors (5031167).

122101321 is an equidigital number, since it uses as much as digits as its factorization.

122101321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48923.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 122101321 is about 11049.9466514549. The cubic root of 122101321 is about 496.1048287471.

Adding to 122101321 its reverse (123101221), we get a palindrome (245202542).

It can be divided in two parts, 12210 and 1321, that added together give a palindrome (13531).

The spelling of 122101321 in words is "one hundred twenty-two million, one hundred one thousand, three hundred twenty-one".