172129209001 has 2 divisors, whose sum is σ = 172129209002. Its totient is φ = 172129209000.

The previous prime is 172129208939. The next prime is 172129209011. The reversal of 172129209001 is 100902921271.

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., 96457451776 + 75671757225 = 310576^2 + 275085^2 .

It is an emirp because it is prime and its reverse (100902921271) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 172129209001 - 2²⁵ = 172095654569 is a prime.

It is not a weakly prime, because it can be changed into another prime (172129209011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86064604500 + 86064604501.

It is an arithmetic number, because the mean of its divisors is an integer number (86064604501).

Almost surely, 2^172129209001 is an apocalyptic number.

It is an amenable number.

172129209001 is a deficient number, since it is larger than the sum of its proper divisors (1).

172129209001 is an equidigital number, since it uses as much as digits as its factorization.

172129209001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 172129209001 in words is "one hundred seventy-two billion, one hundred twenty-nine million, two hundred nine thousand, one".