1011101101057 has 2 divisors, whose sum is σ = 1011101101058. Its totient is φ = 1011101101056.

The previous prime is 1011101101007. The next prime is 1011101101117. The reversal of 1011101101057 is 7501011011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006843669056 + 4257432001 = 1003416^2 + 65249^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011101101057 - 2¹¹ = 1011101099009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011101101007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550550528 + 505550550529.

It is an arithmetic number, because the mean of its divisors is an integer number (505550550529).

Almost surely, 2^{1011101101057} is an apocalyptic number.

It is an amenable number.

1011101101057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101101057 is an equidigital number, since it uses as much as digits as its factorization.

1011101101057 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 19.

Adding to 1011101101057 its reverse (7501011011101), we get a palindrome (8512112112158).

The spelling of 1011101101057 in words is "one trillion, eleven billion, one hundred one million, one hundred one thousand, fifty-seven".