101030431457 has 2 divisors, whose sum is σ = 101030431458. Its totient is φ = 101030431456.

The previous prime is 101030431351. The next prime is 101030431471. The reversal of 101030431457 is 754134030101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94074704656 + 6955726801 = 306716^2 + 83401^2 .

It is an emirp because it is prime and its reverse (754134030101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101030431457 - 2¹⁸ = 101030169313 is a prime.

It is not a weakly prime, because it can be changed into another prime (101030431657) 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 as a sum of consecutive naturals, namely, 50515215728 + 50515215729.

It is an arithmetic number, because the mean of its divisors is an integer number (50515215729).

Almost surely, 2^101030431457 is an apocalyptic number.

It is an amenable number.

101030431457 is a deficient number, since it is larger than the sum of its proper divisors (1).

101030431457 is an equidigital number, since it uses as much as digits as its factorization.

101030431457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 101030431457 its reverse (754134030101), we get a palindrome (855164461558).

The spelling of 101030431457 in words is "one hundred one billion, thirty million, four hundred thirty-one thousand, four hundred fifty-seven".