100733201 has 2 divisors, whose sum is σ = 100733202. Its totient is φ = 100733200.

The previous prime is 100733189. The next prime is 100733249. The reversal of 100733201 is 102337001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71842576 + 28890625 = 8476^2 + 5375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100733201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100733201.

It is not a weakly prime, because it can be changed into another prime (100733251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50366600 + 50366601.

It is an arithmetic number, because the mean of its divisors is an integer number (50366601).

Almost surely, 2^100733201 is an apocalyptic number.

It is an amenable number.

100733201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100733201 is an equidigital number, since it uses as much as digits as its factorization.

100733201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 100733201 is about 10036.5930972616. The cubic root of 100733201 is about 465.2905279661.

The spelling of 100733201 in words is "one hundred million, seven hundred thirty-three thousand, two hundred one".