101101100100041 has 2 divisors, whose sum is σ = 101101100100042. Its totient is φ = 101101100100040.

The previous prime is 101101100099971. The next prime is 101101100100047. The reversal of 101101100100041 is 140001001101101.

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., 94107169783225 + 6993930316816 = 9700885^2 + 2644604^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101100100041 - 2¹⁴ = 101101100083657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101100099995 and 101101100100031.

It is not a weakly prime, because it can be changed into another prime (101101100100047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550050020 + 50550550050021.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550050021).

Almost surely, 2^{101101100100041} is an apocalyptic number.

It is an amenable number.

101101100100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100100041 is an equidigital number, since it uses as much as digits as its factorization.

101101100100041 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101101100100041 its reverse (140001001101101), we get a palindrome (241102101201142).

The spelling of 101101100100041 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred thousand, forty-one".