101001041 has 2 divisors, whose sum is σ = 101001042. Its totient is φ = 101001040.

The previous prime is 101001037. The next prime is 101001053. The reversal of 101001041 is 140100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83192641 + 17808400 = 9121^2 + 4220^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001041 - 2² = 101001037 is a prime.

It is a super-3 number, since 3×101001041³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101001001) 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, 50500520 + 50500521.

It is an arithmetic number, because the mean of its divisors is an integer number (50500521).

Almost surely, 2^101001041 is an apocalyptic number.

It is an amenable number.

101001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001041 is an equidigital number, since it uses as much as digits as its factorization.

101001041 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 8.

The square root of 101001041 is about 10049.9274126732. The cubic root of 101001041 is about 465.7025507574.

Adding to 101001041 its reverse (140100101), we get a palindrome (241101142).

The spelling of 101001041 in words is "one hundred one million, one thousand, forty-one".