101144033 has 8 divisors (see below), whose sum is σ = 107565480. Its totient is φ = 94775040.

The previous prime is 101144027. The next prime is 101144053. The reversal of 101144033 is 330441101.

It can be written as a sum of positive squares in 4 ways, for example, as 53919649 + 47224384 = 7343^2 + 6872^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101144033 - 2⁶ = 101143969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9098 + ... + 16883.

It is an arithmetic number, because the mean of its divisors is an integer number (13445685).

Almost surely, 2^101144033 is an apocalyptic number.

It is an amenable number.

101144033 is a deficient number, since it is larger than the sum of its proper divisors (6421447).

101144033 is a wasteful number, since it uses less digits than its factorization.

101144033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26227.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 101144033 is about 10057.0389777509. The cubic root of 101144033 is about 465.9222195762.

Adding to 101144033 its reverse (330441101), we get a palindrome (431585134).

The spelling of 101144033 in words is "one hundred one million, one hundred forty-four thousand, thirty-three".