10011011102041 has 2 divisors, whose sum is σ = 10011011102042. Its totient is φ = 10011011102040.

The previous prime is 10011011102033. The next prime is 10011011102063. The reversal of 10011011102041 is 14020111011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5412113696025 + 4598897406016 = 2326395^2 + 2144504^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011011102041 - 2³ = 10011011102033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011011102441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005505551020 + 5005505551021.

It is an arithmetic number, because the mean of its divisors is an integer number (5005505551021).

Almost surely, 2^{10011011102041} is an apocalyptic number.

It is an amenable number.

10011011102041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011011102041 is an equidigital number, since it uses as much as digits as its factorization.

10011011102041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011011102041 its reverse (14020111011001), we get a palindrome (24031122113042).

The spelling of 10011011102041 in words is "ten trillion, eleven billion, eleven million, one hundred two thousand, forty-one".