122322121101 has 12 divisors (see below), whose sum is σ = 181462846812. Its totient is φ = 79344078336.

The previous prime is 122322121091. The next prime is 122322121121. The reversal of 122322121101 is 101121223221.

122322121101 is a `hidden beast` number, since 122 + 322 + 121 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67158204201 + 55163916900 = 259149^2 + 234870^2 .

It is not a de Polignac number, because 122322121101 - 2⁵ = 122322121069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122322121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183666516 + ... + 183667181.

It is an arithmetic number, because the mean of its divisors is an integer number (15121903901).

Almost surely, 2^122322121101 is an apocalyptic number.

It is an amenable number.

122322121101 is a deficient number, since it is larger than the sum of its proper divisors (59140725711).

122322121101 is a wasteful number, since it uses less digits than its factorization.

122322121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367333740 (or 367333737 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122322121101 its reverse (101121223221), we get a palindrome (223443344322).

It can be divided in two parts, 122 and 322121101, that added together give a palindrome (322121223).

The spelling of 122322121101 in words is "one hundred twenty-two billion, three hundred twenty-two million, one hundred twenty-one thousand, one hundred one".