101100110010041 has 2 divisors, whose sum is σ = 101100110010042. Its totient is φ = 101100110010040.

The previous prime is 101100110009999. The next prime is 101100110010047. The reversal of 101100110010041 is 140010011001101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75718625706025 + 25381484304016 = 8701645^2 + 5038004^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100110010041 - 2²⁶ = 101100042901177 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100110010047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055005020 + 50550055005021.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055005021).

Almost surely, 2^{101100110010041} is an apocalyptic number.

It is an amenable number.

101100110010041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100110010041 is an equidigital number, since it uses as much as digits as its factorization.

101100110010041 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 101100110010041 its reverse (140010011001101), we get a palindrome (241110121011142).

The spelling of 101100110010041 in words is "one hundred one trillion, one hundred billion, one hundred ten million, ten thousand, forty-one".