101331123120257 has 2 divisors, whose sum is σ = 101331123120258. Its totient is φ = 101331123120256.

The previous prime is 101331123120173. The next prime is 101331123120259. The reversal of 101331123120257 is 752021321133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99868823046721 + 1462300073536 = 9993439^2 + 1209256^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331123120257 - 2⁴² = 96933076609153 is a prime.

Together with 101331123120259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101331123120259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665561560128 + 50665561560129.

It is an arithmetic number, because the mean of its divisors is an integer number (50665561560129).

Almost surely, 2^{101331123120257} is an apocalyptic number.

It is an amenable number.

101331123120257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331123120257 is an equidigital number, since it uses as much as digits as its factorization.

101331123120257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

Adding to 101331123120257 its reverse (752021321133101), we get a palindrome (853352444253358).

The spelling of 101331123120257 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred twenty thousand, two hundred fifty-seven".