101000109837857 has 2 divisors, whose sum is σ = 101000109837858. Its totient is φ = 101000109837856.

The previous prime is 101000109837811. The next prime is 101000109837859. The reversal of 101000109837857 is 758738901000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55700533431841 + 45299576406016 = 7463279^2 + 6730496^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000109837857 - 2¹⁰ = 101000109836833 is a prime.

Together with 101000109837859, 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 (101000109837859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500054918928 + 50500054918929.

It is an arithmetic number, because the mean of its divisors is an integer number (50500054918929).

Almost surely, 2^{101000109837857} is an apocalyptic number.

It is an amenable number.

101000109837857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000109837857 is an equidigital number, since it uses as much as digits as its factorization.

101000109837857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 423360, while the sum is 50.

The spelling of 101000109837857 in words is "one hundred one trillion, one hundred nine million, eight hundred thirty-seven thousand, eight hundred fifty-seven".