122120101122201 has 192 divisors, whose sum is σ = 230670033624576. Its totient is φ = 60539954688000.

The previous prime is 122120101122167. The next prime is 122120101122209. The reversal of 122120101122201 is 102221101021221.

122120101122201 is a `hidden beast` number, since 1 + 221 + 20 + 101 + 122 + 201 = 666.

It is not a de Polignac number, because 122120101122201 - 2¹⁰ = 122120101121177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122120101122209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124998130 + ... + 125971316.

It is an arithmetic number, because the mean of its divisors is an integer number (1201406425128).

Almost surely, 2^{122120101122201} is an apocalyptic number.

It is an amenable number.

122120101122201 is a deficient number, since it is larger than the sum of its proper divisors (108549932502375).

122120101122201 is a wasteful number, since it uses less digits than its factorization.

122120101122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973392 (or 973389 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122120101122201 its reverse (102221101021221), we get a palindrome (224341202143422).

The spelling of 122120101122201 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred one million, one hundred twenty-two thousand, two hundred one".