122001221122121 has 16 divisors (see below), whose sum is σ = 134909226805248. Its totient is φ = 109400281779600.

The previous prime is 122001221122117. The next prime is 122001221122159. The reversal of 122001221122121 is 121221122100221.

It is a cyclic number.

It is not a de Polignac number, because 122001221122121 - 2² = 122001221122117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122001221122093 and 122001221122102.

It is not an unprimeable number, because it can be changed into a prime (122001221128121) 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, 105308801 + ... + 106461006.

It is an arithmetic number, because the mean of its divisors is an integer number (8431826675328).

Almost surely, 2^{122001221122121} is an apocalyptic number.

122001221122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122001221122121 is a deficient number, since it is larger than the sum of its proper divisors (12908005683127).

122001221122121 is a wasteful number, since it uses less digits than its factorization.

122001221122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211770532.

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

Adding to 122001221122121 its reverse (121221122100221), we get a palindrome (243222343222342).

The spelling of 122001221122121 in words is "one hundred twenty-two trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".