100240033 has 2 divisors, whose sum is σ = 100240034. Its totient is φ = 100240032.

The previous prime is 100240031. The next prime is 100240069. The reversal of 100240033 is 330042001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63552784 + 36687249 = 7972^2 + 6057^2 .

It is an emirp because it is prime and its reverse (330042001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100240033 - 2¹ = 100240031 is a prime.

Together with 100240031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100239995 and 100240022.

It is not a weakly prime, because it can be changed into another prime (100240031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50120016 + 50120017.

It is an arithmetic number, because the mean of its divisors is an integer number (50120017).

Almost surely, 2^100240033 is an apocalyptic number.

It is an amenable number.

100240033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100240033 is an equidigital number, since it uses as much as digits as its factorization.

100240033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 100240033 is about 10011.9944566505. The cubic root of 100240033 is about 464.5299647777.

Adding to 100240033 its reverse (330042001), we get a palindrome (430282034).

The spelling of 100240033 in words is "one hundred million, two hundred forty thousand, thirty-three".