403251004100101 has 2 divisors, whose sum is σ = 403251004100102. Its totient is φ = 403251004100100.

The previous prime is 403251004100089. The next prime is 403251004100141. The reversal of 403251004100101 is 101001400152304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 396582291811876 + 6668712288225 = 19914374^2 + 2582385^2 .

It is a cyclic number.

It is not a de Polignac number, because 403251004100101 - 2¹⁷ = 403251003969029 is a prime.

It is a super-2 number, since 2×403251004100101² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (403251004100141) 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 as a sum of consecutive naturals, namely, 201625502050050 + 201625502050051.

It is an arithmetic number, because the mean of its divisors is an integer number (201625502050051).

Almost surely, 2^{403251004100101} is an apocalyptic number.

It is an amenable number.

403251004100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

403251004100101 is an equidigital number, since it uses as much as digits as its factorization.

403251004100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 403251004100101 its reverse (101001400152304), we get a palindrome (504252404252405).

The spelling of 403251004100101 in words is "four hundred three trillion, two hundred fifty-one billion, four million, one hundred thousand, one hundred one".