101567201 has 2 divisors, whose sum is σ = 101567202. Its totient is φ = 101567200.

The previous prime is 101567177. The next prime is 101567227. The reversal of 101567201 is 102765101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96040000 + 5527201 = 9800^2 + 2351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101567201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101560201) 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 as a sum of consecutive naturals, namely, 50783600 + 50783601.

It is an arithmetic number, because the mean of its divisors is an integer number (50783601).

Almost surely, 2^101567201 is an apocalyptic number.

It is an amenable number.

101567201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101567201 is an equidigital number, since it uses as much as digits as its factorization.

101567201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 101567201 is about 10078.0554175892. The cubic root of 101567201 is about 466.5710930695.

The spelling of 101567201 in words is "one hundred one million, five hundred sixty-seven thousand, two hundred one".