122121202121221 has 4 divisors (see below), whose sum is σ = 122753954464012. Its totient is φ = 121488449778432.

The previous prime is 122121202121179. The next prime is 122121202121263.

122121202121221 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (122121202121179) and next prime (122121202121263).

It can be written as a sum of positive squares in 2 ways, for example, as 12097256128321 + 110023945992900 = 3478111^2 + 10489230^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121202121221 - 2³⁵ = 122086842382853 is a prime.

It is a super-2 number, since 2×122121202121221² (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 = 122121202121192 and 122121202121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121202121021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316376171106 + ... + 316376171491.

It is an arithmetic number, because the mean of its divisors is an integer number (30688488616003).

Almost surely, 2^{122121202121221} is an apocalyptic number.

It is an amenable number.

122121202121221 is a deficient number, since it is larger than the sum of its proper divisors (632752342791).

122121202121221 is an equidigital number, since it uses as much as digits as its factorization.

122121202121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632752342790.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 12212120 and 2121221, that added together give a palindrome (14333341).

The spelling of 122121202121221 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-one thousand, two hundred twenty-one".