1001101100057 has 2 divisors, whose sum is σ = 1001101100058. Its totient is φ = 1001101100056.

The previous prime is 1001101100011. The next prime is 1001101100107. The reversal of 1001101100057 is 7500011011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 926013591616 + 75087508441 = 962296^2 + 274021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001101100057 is a prime.

It is a super-3 number, since 3×1001101100057³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1001101105057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550550028 + 500550550029.

It is an arithmetic number, because the mean of its divisors is an integer number (500550550029).

Almost surely, 2^{1001101100057} is an apocalyptic number.

It is an amenable number.

1001101100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101100057 is an equidigital number, since it uses as much as digits as its factorization.

1001101100057 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 1001101100057 its reverse (7500011011001), we get a palindrome (8501112111058).

The spelling of 1001101100057 in words is "one trillion, one billion, one hundred one million, one hundred thousand, fifty-seven".