101331020257 has 2 divisors, whose sum is σ = 101331020258. Its totient is φ = 101331020256.

The previous prime is 101331020243. The next prime is 101331020269. The reversal of 101331020257 is 752020133101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63099430416 + 38231589841 = 251196^2 + 195529^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331020257 - 2³⁵ = 66971281889 is a prime.

It is not a weakly prime, because it can be changed into another prime (101331020057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665510128 + 50665510129.

It is an arithmetic number, because the mean of its divisors is an integer number (50665510129).

Almost surely, 2^101331020257 is an apocalyptic number.

It is an amenable number.

101331020257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331020257 is an equidigital number, since it uses as much as digits as its factorization.

101331020257 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 25.

Adding to 101331020257 its reverse (752020133101), we get a palindrome (853351153358).

The spelling of 101331020257 in words is "one hundred one billion, three hundred thirty-one million, twenty thousand, two hundred fifty-seven".