257106066101 has 16 divisors (see below), whose sum is σ = 266633821440. Its totient is φ = 247735303680.

The previous prime is 257106066031. The next prime is 257106066121. The reversal of 257106066101 is 101660601752.

It is not a de Polignac number, because 257106066101 - 2³⁰ = 256032324277 is a prime.

It is a super-2 number, since 2×257106066101² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257106066121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12897620 + ... + 12917538.

It is an arithmetic number, because the mean of its divisors is an integer number (16664613840).

Almost surely, 2^257106066101 is an apocalyptic number.

It is an amenable number.

257106066101 is a deficient number, since it is larger than the sum of its proper divisors (9527755339).

257106066101 is a wasteful number, since it uses less digits than its factorization.

257106066101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23836.

The product of its (nonzero) digits is 15120, while the sum is 35.

Adding to 257106066101 its reverse (101660601752), we get a palindrome (358766667853).

The spelling of 257106066101 in words is "two hundred fifty-seven billion, one hundred six million, sixty-six thousand, one hundred one".