27372173122201 has 2 divisors, whose sum is σ = 27372173122202. Its totient is φ = 27372173122200.

The previous prime is 27372173122183. The next prime is 27372173122237. The reversal of 27372173122201 is 10222137127372.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26657343455625 + 714829666576 = 5163075^2 + 845476^2 .

It is a cyclic number.

It is not a de Polignac number, because 27372173122201 - 2⁴¹ = 25173149866649 is a prime.

It is a super-2 number, since 2×27372173122201² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27372173123201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13686086561100 + 13686086561101.

It is an arithmetic number, because the mean of its divisors is an integer number (13686086561101).

Almost surely, 2^{27372173122201} is an apocalyptic number.

It is an amenable number.

27372173122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

27372173122201 is an equidigital number, since it uses as much as digits as its factorization.

27372173122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 27372173122201 in words is "twenty-seven trillion, three hundred seventy-two billion, one hundred seventy-three million, one hundred twenty-two thousand, two hundred one".