1011101100101 has 2 divisors, whose sum is σ = 1011101100102. Its totient is φ = 1011101100100.

The previous prime is 1011101100077. The next prime is 1011101100161. The reversal of 1011101100101 is 1010011011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 942357504001 + 68743596100 = 970751^2 + 262190^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011101100101 - 2³⁴ = 993921230917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011101100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550550050 + 505550550051.

It is an arithmetic number, because the mean of its divisors is an integer number (505550550051).

Almost surely, 2^{1011101100101} is an apocalyptic number.

It is an amenable number.

1011101100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101100101 is an equidigital number, since it uses as much as digits as its factorization.

1011101100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011101100101 its reverse (1010011011101), we get a palindrome (2021112111202).

The spelling of 1011101100101 in words is "one trillion, eleven billion, one hundred one million, one hundred thousand, one hundred one".