10100041057 has 2 divisors, whose sum is σ = 10100041058. Its totient is φ = 10100041056.

The previous prime is 10100041019. The next prime is 10100041069. The reversal of 10100041057 is 75014000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6397440256 + 3702600801 = 79984^2 + 60849^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100041057 - 2²³ = 10091652449 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100041157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050020528 + 5050020529.

It is an arithmetic number, because the mean of its divisors is an integer number (5050020529).

Almost surely, 2^10100041057 is an apocalyptic number.

It is an amenable number.

10100041057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100041057 is an equidigital number, since it uses as much as digits as its factorization.

10100041057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 10100041057 its reverse (75014000101), we get a palindrome (85114041158).

The spelling of 10100041057 in words is "ten billion, one hundred million, forty-one thousand, fifty-seven".