101061010657 has 2 divisors, whose sum is σ = 101061010658. Its totient is φ = 101061010656.

The previous prime is 101061010591. The next prime is 101061010667. The reversal of 101061010657 is 756010160101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79051507921 + 22009502736 = 281161^2 + 148356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101061010657 is a prime.

It is not a weakly prime, because it can be changed into another prime (101061010667) 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, 50530505328 + 50530505329.

It is an arithmetic number, because the mean of its divisors is an integer number (50530505329).

Almost surely, 2^101061010657 is an apocalyptic number.

It is an amenable number.

101061010657 is a deficient number, since it is larger than the sum of its proper divisors (1).

101061010657 is an equidigital number, since it uses as much as digits as its factorization.

101061010657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 101061010657 its reverse (756010160101), we get a palindrome (857071170758).

The spelling of 101061010657 in words is "one hundred one billion, sixty-one million, ten thousand, six hundred fifty-seven".