101123441 has 2 divisors, whose sum is σ = 101123442. Its totient is φ = 101123440.

The previous prime is 101123437. The next prime is 101123447. The reversal of 101123441 is 144321101.

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., 92544400 + 8579041 = 9620^2 + 2929^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123441 - 2² = 101123437 is a prime.

It is not a weakly prime, because it can be changed into another prime (101123447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561720 + 50561721.

It is an arithmetic number, because the mean of its divisors is an integer number (50561721).

Almost surely, 2^101123441 is an apocalyptic number.

It is an amenable number.

101123441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123441 is an equidigital number, since it uses as much as digits as its factorization.

101123441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101123441 is about 10056.0151650641. The cubic root of 101123441 is about 465.8905982627.

Adding to 101123441 its reverse (144321101), we get a palindrome (245444542).

The spelling of 101123441 in words is "one hundred one million, one hundred twenty-three thousand, four hundred forty-one".