10405242121 has 2 divisors, whose sum is σ = 10405242122. Its totient is φ = 10405242120.

The previous prime is 10405242109. The next prime is 10405242131. The reversal of 10405242121 is 12124250401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10265742400 + 139499721 = 101320^2 + 11811^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405242121 - 2¹⁹ = 10404717833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10405242092 and 10405242101.

It is not a weakly prime, because it can be changed into another prime (10405242131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202621060 + 5202621061.

It is an arithmetic number, because the mean of its divisors is an integer number (5202621061).

Almost surely, 2^10405242121 is an apocalyptic number.

It is an amenable number.

10405242121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405242121 is an equidigital number, since it uses as much as digits as its factorization.

10405242121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 10405242121 its reverse (12124250401), we get a palindrome (22529492522).

The spelling of 10405242121 in words is "ten billion, four hundred five million, two hundred forty-two thousand, one hundred twenty-one".