122200221022121 has 12 divisors (see below), whose sum is σ = 136211071655232. Its totient is φ = 109526446491000.

The previous prime is 122200221022093. The next prime is 122200221022199. The reversal of 122200221022121 is 121220122002221.

It is a de Polignac number, because none of the positive numbers 2^k-122200221022121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122200221022093 and 122200221022102.

It is not an unprimeable number, because it can be changed into a prime (122200221025121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7112098325 + ... + 7112115506.

It is an arithmetic number, because the mean of its divisors is an integer number (11350922637936).

Almost surely, 2^{122200221022121} is an apocalyptic number.

122200221022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122200221022121 is a deficient number, since it is larger than the sum of its proper divisors (14010850633111).

122200221022121 is a wasteful number, since it uses less digits than its factorization.

122200221022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14224213924 (or 14224213913 counting only the distinct ones).

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

Adding to 122200221022121 its reverse (121220122002221), we get a palindrome (243420343024342).

The spelling of 122200221022121 in words is "one hundred twenty-two trillion, two hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty-one".