10146201320201 has 8 divisors (see below), whose sum is σ = 10166540476104. Its totient is φ = 10125869776000.

The previous prime is 10146201320173. The next prime is 10146201320291. The reversal of 10146201320201 is 10202310264101.

10146201320201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2002369332601 + 8143831987600 = 1415051^2 + 2853740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10146201320201 - 2¹⁴ = 10146201303817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10146201320291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769451 + ... + 4569951.

It is an arithmetic number, because the mean of its divisors is an integer number (1270817559513).

Almost surely, 2^{10146201320201} is an apocalyptic number.

It is an amenable number.

10146201320201 is a deficient number, since it is larger than the sum of its proper divisors (20339155903).

10146201320201 is an equidigital number, since it uses as much as digits as its factorization.

10146201320201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805851.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10146201320201 its reverse (10202310264101), we get a palindrome (20348511584302).

The spelling of 10146201320201 in words is "ten trillion, one hundred forty-six billion, two hundred one million, three hundred twenty thousand, two hundred one".