101424403121 has 2 divisors, whose sum is σ = 101424403122. Its totient is φ = 101424403120.

The previous prime is 101424403079. The next prime is 101424403127. The reversal of 101424403121 is 121304424101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63157218721 + 38267184400 = 251311^2 + 195620^2 .

It is a cyclic number.

It is not a de Polignac number, because 101424403121 - 2¹⁰ = 101424402097 is a prime.

It is a super-2 number, since 2×101424403121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101424403127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50712201560 + 50712201561.

It is an arithmetic number, because the mean of its divisors is an integer number (50712201561).

Almost surely, 2^101424403121 is an apocalyptic number.

It is an amenable number.

101424403121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101424403121 is an equidigital number, since it uses as much as digits as its factorization.

101424403121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101424403121 its reverse (121304424101), we get a palindrome (222728827222).

The spelling of 101424403121 in words is "one hundred one billion, four hundred twenty-four million, four hundred three thousand, one hundred twenty-one".