101000111057 has 2 divisors, whose sum is σ = 101000111058. Its totient is φ = 101000111056.

The previous prime is 101000110891. The next prime is 101000111059. The reversal of 101000111057 is 750111000101.

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., 94492300816 + 6507810241 = 307396^2 + 80671^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000111057 - 2¹⁸ = 100999848913 is a prime.

Together with 101000111059, 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 (101000111059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500055528 + 50500055529.

It is an arithmetic number, because the mean of its divisors is an integer number (50500055529).

Almost surely, 2^101000111057 is an apocalyptic number.

It is an amenable number.

101000111057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000111057 is an equidigital number, since it uses as much as digits as its factorization.

101000111057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 17.

Adding to 101000111057 its reverse (750111000101), we get a palindrome (851111111158).

The spelling of 101000111057 in words is "one hundred one billion, one hundred eleven thousand, fifty-seven".