121363121 has 6 divisors (see below), whose sum is σ = 133399266. Its totient is φ = 110330000.

The previous prime is 121363097. The next prime is 121363129.

121363121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 108972721 + 12390400 = 10439^2 + 3520^2 .

It is not a de Polignac number, because 121363121 - 2¹⁴ = 121346737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121363093 and 121363102.

It is not an unprimeable number, because it can be changed into a prime (121363129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501380 + ... + 501621.

It is an arithmetic number, because the mean of its divisors is an integer number (22233211).

Almost surely, 2^121363121 is an apocalyptic number.

121363121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121363121 is a deficient number, since it is larger than the sum of its proper divisors (12036145).

121363121 is a wasteful number, since it uses less digits than its factorization.

121363121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003023 (or 1003012 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 121363121 is about 11016.4931352949. The cubic root of 121363121 is about 495.1030238238.

The spelling of 121363121 in words is "one hundred twenty-one million, three hundred sixty-three thousand, one hundred twenty-one".