101100761057 has 2 divisors, whose sum is σ = 101100761058. Its totient is φ = 101100761056.

The previous prime is 101100761011. The next prime is 101100761087. The reversal of 101100761057 is 750167001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100549873216 + 550887841 = 317096^2 + 23471^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100761057 - 2⁸ = 101100760801 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100761087) 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, 50550380528 + 50550380529.

It is an arithmetic number, because the mean of its divisors is an integer number (50550380529).

Almost surely, 2^101100761057 is an apocalyptic number.

It is an amenable number.

101100761057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100761057 is an equidigital number, since it uses as much as digits as its factorization.

101100761057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 29.

Adding to 101100761057 its reverse (750167001101), we get a palindrome (851267762158).

The spelling of 101100761057 in words is "one hundred one billion, one hundred million, seven hundred sixty-one thousand, fifty-seven".