101100101020241 has 2 divisors, whose sum is σ = 101100101020242. Its totient is φ = 101100101020240.

The previous prime is 101100101020213. The next prime is 101100101020309. The reversal of 101100101020241 is 142020101001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100180161072016 + 919939948225 = 10009004^2 + 959135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100101020241 is a prime.

It is a super-3 number, since 3×101100101020241³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101100101020201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050510120 + 50550050510121.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050510121).

Almost surely, 2^{101100101020241} is an apocalyptic number.

It is an amenable number.

101100101020241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100101020241 is an equidigital number, since it uses as much as digits as its factorization.

101100101020241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101100101020241 its reverse (142020101001101), we get a palindrome (243120202021342).

The spelling of 101100101020241 in words is "one hundred one trillion, one hundred billion, one hundred one million, twenty thousand, two hundred forty-one".