122002111122201 has 12 divisors (see below), whose sum is σ = 176225374018980. Its totient is φ = 81334693487520.

The previous prime is 122002111122193. The next prime is 122002111122233. The reversal of 122002111122201 is 102221111200221.

122002111122201 is a `hidden beast` number, since 1 + 220 + 0 + 211 + 1 + 12 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114830534241801 + 7171576880400 = 10715901^2 + 2677980^2 .

It is not a de Polignac number, because 122002111122201 - 2³ = 122002111122193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122002111122401) 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, 20192955 + ... + 25529583.

It is an arithmetic number, because the mean of its divisors is an integer number (14685447834915).

Almost surely, 2^{122002111122201} is an apocalyptic number.

It is an amenable number.

122002111122201 is a deficient number, since it is larger than the sum of its proper divisors (54223262896779).

122002111122201 is a wasteful number, since it uses less digits than its factorization.

122002111122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876776 (or 7876773 counting only the distinct ones).

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

Adding to 122002111122201 its reverse (102221111200221), we get a palindrome (224223222322422).

The spelling of 122002111122201 in words is "one hundred twenty-two trillion, two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred one".