101101001100041 has 2 divisors, whose sum is σ = 101101001100042. Its totient is φ = 101101001100040.

The previous prime is 101101001100019. The next prime is 101101001100089. The reversal of 101101001100041 is 140001100101101.

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., 55721970031225 + 45379031068816 = 7464715^2 + 6736396^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101001100041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101001099995 and 101101001100031.

It is not a weakly prime, because it can be changed into another prime (101101001103041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500550020 + 50550500550021.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500550021).

Almost surely, 2^{101101001100041} is an apocalyptic number.

It is an amenable number.

101101001100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101001100041 is an equidigital number, since it uses as much as digits as its factorization.

101101001100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101101001100041 its reverse (140001100101101), we get a palindrome (241102101201142).

The spelling of 101101001100041 in words is "one hundred one trillion, one hundred one billion, one million, one hundred thousand, forty-one".