101609657057 has 4 divisors (see below), whose sum is σ = 101650747140. Its totient is φ = 101568566976.

The previous prime is 101609657029. The next prime is 101609657077. The reversal of 101609657057 is 750756906101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 750756906101 = 71 ⋅10574040931.

It can be written as a sum of positive squares in 2 ways, for example, as 27056631121 + 74553025936 = 164489^2 + 273044^2 .

It is a cyclic number.

It is not a de Polignac number, because 101609657057 - 2¹² = 101609652961 is a prime.

It is a super-2 number, since 2×101609657057² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101609657077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20541332 + ... + 20546277.

It is an arithmetic number, because the mean of its divisors is an integer number (25412686785).

Almost surely, 2^101609657057 is an apocalyptic number.

It is an amenable number.

101609657057 is a deficient number, since it is larger than the sum of its proper divisors (41090083).

101609657057 is an equidigital number, since it uses as much as digits as its factorization.

101609657057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41090082.

The product of its (nonzero) digits is 396900, while the sum is 47.

The spelling of 101609657057 in words is "one hundred one billion, six hundred nine million, six hundred fifty-seven thousand, fifty-seven".