101111000057 has 2 divisors, whose sum is σ = 101111000058. Its totient is φ = 101111000056.

The previous prime is 101110999999. The next prime is 101111000071. The reversal of 101111000057 is 750000111101.

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., 97466342416 + 3644657641 = 312196^2 + 60371^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111000057 - 2⁶ = 101110999993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110999999 and 101111000044.

It is not a weakly prime, because it can be changed into another prime (101111000357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500028 + 50555500029.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500029).

Almost surely, 2^101111000057 is an apocalyptic number.

It is an amenable number.

101111000057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000057 is an equidigital number, since it uses as much as digits as its factorization.

101111000057 is an evil number, because the sum of its binary digits is even.

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

Adding to 101111000057 its reverse (750000111101), we get a palindrome (851111111158).

The spelling of 101111000057 in words is "one hundred one billion, one hundred eleven million, fifty-seven", and thus it is an aban number.