101238857 has 2 divisors, whose sum is σ = 101238858. Its totient is φ = 101238856.

The previous prime is 101238817. The next prime is 101238869. The reversal of 101238857 is 758832101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91604041 + 9634816 = 9571^2 + 3104^2 .

It is an emirp because it is prime and its reverse (758832101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101238857 - 2⁶ = 101238793 is a prime.

It is not a weakly prime, because it can be changed into another prime (101238817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50619428 + 50619429.

It is an arithmetic number, because the mean of its divisors is an integer number (50619429).

Almost surely, 2^101238857 is an apocalyptic number.

It is an amenable number.

101238857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101238857 is an equidigital number, since it uses as much as digits as its factorization.

101238857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 101238857 is about 10061.7521833923. The cubic root of 101238857 is about 466.0677770476.

The spelling of 101238857 in words is "one hundred one million, two hundred thirty-eight thousand, eight hundred fifty-seven".