101054240257 has 2 divisors, whose sum is σ = 101054240258. Its totient is φ = 101054240256.

The previous prime is 101054240251. The next prime is 101054240267. The reversal of 101054240257 is 752042450101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89382462961 + 11671777296 = 298969^2 + 108036^2 .

It is a cyclic number.

It is not a de Polignac number, because 101054240257 - 2¹⁹ = 101053715969 is a prime.

It is not a weakly prime, because it can be changed into another prime (101054240251) 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 as a sum of consecutive naturals, namely, 50527120128 + 50527120129.

It is an arithmetic number, because the mean of its divisors is an integer number (50527120129).

Almost surely, 2^101054240257 is an apocalyptic number.

It is an amenable number.

101054240257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101054240257 is an equidigital number, since it uses as much as digits as its factorization.

101054240257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11200, while the sum is 31.

Adding to 101054240257 its reverse (752042450101), we get a palindrome (853096690358).

The spelling of 101054240257 in words is "one hundred one billion, fifty-four million, two hundred forty thousand, two hundred fifty-seven".