10001011001057 has 2 divisors, whose sum is σ = 10001011001058. Its totient is φ = 10001011001056.

The previous prime is 10001011001017. The next prime is 10001011001117. The reversal of 10001011001057 is 75010011010001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5626592737936 + 4374418263121 = 2372044^2 + 2091511^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001011001057 - 2⁶ = 10001011000993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001011001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505500528 + 5000505500529.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505500529).

Almost surely, 2^{10001011001057} is an apocalyptic number.

It is an amenable number.

10001011001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001011001057 is an equidigital number, since it uses as much as digits as its factorization.

10001011001057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 17.

Adding to 10001011001057 its reverse (75010011010001), we get a palindrome (85011022011058).

The spelling of 10001011001057 in words is "ten trillion, one billion, eleven million, one thousand, fifty-seven".