10007183201 has 2 divisors, whose sum is σ = 10007183202. Its totient is φ = 10007183200.

The previous prime is 10007183171. The next prime is 10007183209. The reversal of 10007183201 is 10238170001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8549776225 + 1457406976 = 92465^2 + 38176^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007183201 - 2¹⁰ = 10007182177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10007183209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003591600 + 5003591601.

It is an arithmetic number, because the mean of its divisors is an integer number (5003591601).

Almost surely, 2^10007183201 is an apocalyptic number.

It is an amenable number.

10007183201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007183201 is an equidigital number, since it uses as much as digits as its factorization.

10007183201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

The spelling of 10007183201 in words is "ten billion, seven million, one hundred eighty-three thousand, two hundred one".