122033101121 has 16 divisors (see below), whose sum is σ = 131099005440. Its totient is φ = 113182517760.

The previous prime is 122033101111. The next prime is 122033101129. The reversal of 122033101121 is 121101330221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122033101121 is a prime.

It is a super-2 number, since 2×122033101121² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122033101121.

It is not an unprimeable number, because it can be changed into a prime (122033101129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612500 + ... + 786906.

It is an arithmetic number, because the mean of its divisors is an integer number (8193687840).

Almost surely, 2^122033101121 is an apocalyptic number.

It is an amenable number.

122033101121 is a deficient number, since it is larger than the sum of its proper divisors (9065904319).

122033101121 is a wasteful number, since it uses less digits than its factorization.

122033101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175024.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122033101121 its reverse (121101330221), we get a palindrome (243134431342).

The spelling of 122033101121 in words is "one hundred twenty-two billion, thirty-three million, one hundred one thousand, one hundred twenty-one".