10161106147201 has 9 divisors (see below), whose sum is σ = 10724112237153. Its totient is φ = 9626253709140.

The previous prime is 10161106147187. The next prime is 10161106147327. The reversal of 10161106147201 is 10274160116101.

The square root of 10161106147201 is 3187649.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10161106147201 - 2⁵ = 10161106147169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10161106148201) 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 in 8 ways as a sum of consecutive naturals, for example, 60481446 + ... + 60649216.

Almost surely, 2^{10161106147201} is an apocalyptic number.

10161106147201 is the 3187649-th square number.

10161106147201 is the 1593825-th centered octagonal number.

It is an amenable number.

10161106147201 is a deficient number, since it is larger than the sum of its proper divisors (563006089952).

10161106147201 is an frugal number, since it uses more digits than its factorization.

10161106147201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335580 (or 167790 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 10161106147201 in words is "ten trillion, one hundred sixty-one billion, one hundred six million, one hundred forty-seven thousand, two hundred one".