122121120110121 has 16 divisors (see below), whose sum is σ = 197367466845120. Its totient is φ = 74012800066560.

The previous prime is 122121120110111. The next prime is 122121120110167. The reversal of 122121120110121 is 121011021121221.

It is a happy number.

122121120110121 is a `hidden beast` number, since 1 + 221 + 211 + 2 + 0 + 110 + 121 = 666.

It is not a de Polignac number, because 122121120110121 - 2⁶ = 122121120110057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122121120110094 and 122121120110103.

It is not an unprimeable number, because it can be changed into a prime (122121120110111) 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, 205591111000 + ... + 205591111593.

It is an arithmetic number, because the mean of its divisors is an integer number (12335466677820).

Almost surely, 2^{122121120110121} is an apocalyptic number.

122121120110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122121120110121 is a deficient number, since it is larger than the sum of its proper divisors (75246346734999).

122121120110121 is a wasteful number, since it uses less digits than its factorization.

122121120110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411182222613 (or 411182222607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122121120110121 its reverse (121011021121221), we get a palindrome (243132141231342).

The spelling of 122121120110121 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred ten thousand, one hundred twenty-one".