122210202220121 has 8 divisors (see below), whose sum is σ = 129399680746440. Its totient is φ = 115020795149568.

The previous prime is 122210202220109. The next prime is 122210202220133. The reversal of 122210202220121 is 121022202012221.

It is an interprime number because it is at equal distance from previous prime (122210202220109) and next prime (122210202220133).

It can be written as a sum of positive squares in 4 ways, for example, as 3678969508096 + 118531232712025 = 1918064^2 + 10887205^2 .

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 122210202220121 - 2³⁸ = 121935324313177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122210202220093 and 122210202220102.

It is not an unprimeable number, because it can be changed into a prime (122210202220151) 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, 14322686 + ... + 21202823.

It is an arithmetic number, because the mean of its divisors is an integer number (16174960093305).

Almost surely, 2^{122210202220121} is an apocalyptic number.

It is an amenable number.

122210202220121 is a deficient number, since it is larger than the sum of its proper divisors (7189478526319).

122210202220121 is a wasteful number, since it uses less digits than its factorization.

122210202220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35727883.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122210202220121 its reverse (121022202012221), we get a palindrome (243232404232342).

The spelling of 122210202220121 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred two million, two hundred twenty thousand, one hundred twenty-one".