121001112221121 has 24 divisors (see below), whose sum is σ = 190672263628704. Its totient is φ = 73332528802560.

The previous prime is 121001112221053. The next prime is 121001112221159. The reversal of 121001112221121 is 121122211100121.

It is a happy number.

121001112221121 is a `hidden beast` number, since 1 + 210 + 0 + 1 + 112 + 221 + 121 = 666.

It is not a de Polignac number, because 121001112221121 - 2¹⁰ = 121001112220097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121001112221094 and 121001112221103.

It is not an unprimeable number, because it can be changed into a prime (121001112221321) 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 23 ways as a sum of consecutive naturals, for example, 7376851 + ... + 17216856.

It is an arithmetic number, because the mean of its divisors is an integer number (7944677651196).

Almost surely, 2^{121001112221121} is an apocalyptic number.

121001112221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121001112221121 is a deficient number, since it is larger than the sum of its proper divisors (69671151407583).

121001112221121 is a wasteful number, since it uses less digits than its factorization.

121001112221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24643421 (or 24643418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121001112221121 its reverse (121122211100121), we get a palindrome (242123323321242).

The spelling of 121001112221121 in words is "one hundred twenty-one trillion, one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".