122210122120121 has 32 divisors (see below), whose sum is σ = 142697763244800. Its totient is φ = 102490873954560.

The previous prime is 122210122120091. The next prime is 122210122120199. The reversal of 122210122120121 is 121021221012221.

It is not a de Polignac number, because 122210122120121 - 2⁶ = 122210122120057 is a prime.

It is a super-2 number, since 2×122210122120121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122210122120093 and 122210122120102.

It is not an unprimeable number, because it can be changed into a prime (122210122120921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402664895 + ... + 402968283.

It is an arithmetic number, because the mean of its divisors is an integer number (4459305101400).

Almost surely, 2^{122210122120121} is an apocalyptic number.

It is an amenable number.

122210122120121 is a deficient number, since it is larger than the sum of its proper divisors (20487641124679).

122210122120121 is a wasteful number, since it uses less digits than its factorization.

122210122120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306449.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122210122120121 its reverse (121021221012221), we get a palindrome (243231343132342).

The spelling of 122210122120121 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".