105002400121 has 2 divisors, whose sum is σ = 105002400122. Its totient is φ = 105002400120.

The previous prime is 105002400119. The next prime is 105002400193. The reversal of 105002400121 is 121004200501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58503515625 + 46498884496 = 241875^2 + 215636^2 .

It is a cyclic number.

It is not a de Polignac number, because 105002400121 - 2¹ = 105002400119 is a prime.

It is a super-2 number, since 2×105002400121² (a number of 23 digits) contains 22 as substring.

Together with 105002400119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105002400095 and 105002400104.

It is not a weakly prime, because it can be changed into another prime (105002400221) 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 as a sum of consecutive naturals, namely, 52501200060 + 52501200061.

It is an arithmetic number, because the mean of its divisors is an integer number (52501200061).

Almost surely, 2^105002400121 is an apocalyptic number.

It is an amenable number.

105002400121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105002400121 is an equidigital number, since it uses as much as digits as its factorization.

105002400121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 105002400121 its reverse (121004200501), we get a palindrome (226006600622).

The spelling of 105002400121 in words is "one hundred five billion, two million, four hundred thousand, one hundred twenty-one".