122201112121 has 16 divisors (see below), whose sum is σ = 141164166528. Its totient is φ = 104548153600.

The previous prime is 122201112119. The next prime is 122201112149. The reversal of 122201112121 is 121211102221.

It is not a de Polignac number, because 122201112121 - 2¹ = 122201112119 is a prime.

It is a super-2 number, since 2×122201112121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201112095 and 122201112104.

It is not an unprimeable number, because it can be changed into a prime (122201112151) 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, 3090351 + ... + 3129643.

It is an arithmetic number, because the mean of its divisors is an integer number (8822760408).

Almost surely, 2^122201112121 is an apocalyptic number.

122201112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122201112121 is a deficient number, since it is larger than the sum of its proper divisors (18963054407).

122201112121 is a wasteful number, since it uses less digits than its factorization.

122201112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55952.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122201112121 its reverse (121211102221), we get a palindrome (243412214342).

The spelling of 122201112121 in words is "one hundred twenty-two billion, two hundred one million, one hundred twelve thousand, one hundred twenty-one".