122100121121 has 4 divisors (see below), whose sum is σ = 133200132144. Its totient is φ = 111000110100.

The previous prime is 122100121067. The next prime is 122100121133. The reversal of 122100121121 is 121121001221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 122100121121 - 2¹⁰ = 122100120097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122100121096 and 122100121105.

It is not an unprimeable number, because it can be changed into a prime (122100121621) 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 3 ways as a sum of consecutive naturals, for example, 5550005495 + ... + 5550005516.

It is an arithmetic number, because the mean of its divisors is an integer number (33300033036).

Almost surely, 2^122100121121 is an apocalyptic number.

122100121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100121121 is a deficient number, since it is larger than the sum of its proper divisors (11100011023).

122100121121 is a wasteful number, since it uses less digits than its factorization.

122100121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100011022.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122100121121 its reverse (121121001221), we get a palindrome (243221122342).

The spelling of 122100121121 in words is "one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-one".