101042257 has 2 divisors, whose sum is σ = 101042258. Its totient is φ = 101042256.

The previous prime is 101042251. The next prime is 101042287. The reversal of 101042257 is 752240101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58844241 + 42198016 = 7671^2 + 6496^2 .

It is a cyclic number.

It is not a de Polignac number, because 101042257 - 2⁷ = 101042129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101042251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50521128 + 50521129.

It is an arithmetic number, because the mean of its divisors is an integer number (50521129).

Almost surely, 2^101042257 is an apocalyptic number.

It is an amenable number.

101042257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101042257 is an equidigital number, since it uses as much as digits as its factorization.

101042257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 101042257 is about 10051.9777655942. The cubic root of 101042257 is about 465.7658893323.

Adding to 101042257 its reverse (752240101), we get a palindrome (853282358).

The spelling of 101042257 in words is "one hundred one million, forty-two thousand, two hundred fifty-seven".