10100161657 has 2 divisors, whose sum is σ = 10100161658. Its totient is φ = 10100161656.

The previous prime is 10100161579. The next prime is 10100161661. The reversal of 10100161657 is 75616100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7605758521 + 2494403136 = 87211^2 + 49944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100161657 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100161697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050080828 + 5050080829.

It is an arithmetic number, because the mean of its divisors is an integer number (5050080829).

Almost surely, 2^10100161657 is an apocalyptic number.

It is an amenable number.

10100161657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100161657 is an equidigital number, since it uses as much as digits as its factorization.

10100161657 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 10100161657 its reverse (75616100101), we get a palindrome (85716261758).

The spelling of 10100161657 in words is "ten billion, one hundred million, one hundred sixty-one thousand, six hundred fifty-seven".