122003000300221 has 16 divisors (see below), whose sum is σ = 123334071780528. Its totient is φ = 120673440921600.

The previous prime is 122003000300201. The next prime is 122003000300227.

122003000300221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1700053507321 + 120302946792900 = 1303861^2 + 10968270^2 .

It is a cyclic number.

It is not a de Polignac number, because 122003000300221 - 2³¹ = 122000852816573 is a prime.

It is a super-2 number, since 2×122003000300221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122003000300195 and 122003000300204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003000300227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1661654091 + ... + 1661727511.

It is an arithmetic number, because the mean of its divisors is an integer number (7708379486283).

Almost surely, 2^{122003000300221} is an apocalyptic number.

It is an amenable number.

122003000300221 is a deficient number, since it is larger than the sum of its proper divisors (1331071480307).

122003000300221 is an equidigital number, since it uses as much as digits as its factorization.

122003000300221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83472.

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 122003000 and 300221, that added together give a palindrome (122303221).

The spelling of 122003000300221 in words is "one hundred twenty-two trillion, three billion, three hundred thousand, two hundred twenty-one".