101075000857 has 2 divisors, whose sum is σ = 101075000858. Its totient is φ = 101075000856.

The previous prime is 101075000833. The next prime is 101075000881. The reversal of 101075000857 is 758000570101.

It is a balanced prime because it is at equal distance from previous prime (101075000833) and next prime (101075000881).

It can be written as a sum of positive squares in only one way, i.e., 99893291481 + 1181709376 = 316059^2 + 34376^2 .

It is a cyclic number.

It is not a de Polignac number, because 101075000857 - 2¹⁵ = 101074968089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101075001857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50537500428 + 50537500429.

It is an arithmetic number, because the mean of its divisors is an integer number (50537500429).

Almost surely, 2^101075000857 is an apocalyptic number.

It is an amenable number.

101075000857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101075000857 is an equidigital number, since it uses as much as digits as its factorization.

101075000857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9800, while the sum is 34.

Adding to 101075000857 its reverse (758000570101), we get a palindrome (859075570958).

The spelling of 101075000857 in words is "one hundred one billion, seventy-five million, eight hundred fifty-seven", and thus it is an aban number.