101330101001057 has 2 divisors, whose sum is σ = 101330101001058. Its totient is φ = 101330101001056.

The previous prime is 101330101001029. The next prime is 101330101001069. The reversal of 101330101001057 is 750100101033101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61726854942736 + 39603246058321 = 7856644^2 + 6293111^2 .

It is a cyclic number.

It is not a de Polignac number, because 101330101001057 - 2⁸ = 101330101000801 is a prime.

It is not a weakly prime, because it can be changed into another prime (101330101001257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665050500528 + 50665050500529.

It is an arithmetic number, because the mean of its divisors is an integer number (50665050500529).

Almost surely, 2^{101330101001057} is an apocalyptic number.

It is an amenable number.

101330101001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101330101001057 is an equidigital number, since it uses as much as digits as its factorization.

101330101001057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 23.

Adding to 101330101001057 its reverse (750100101033101), we get a palindrome (851430202034158).

The spelling of 101330101001057 in words is "one hundred one trillion, three hundred thirty billion, one hundred one million, one thousand, fifty-seven".