1020064600201 has 8 divisors (see below), whose sum is σ = 1024964215560. Its totient is φ = 1015176340992.

The previous prime is 1020064600199. The next prime is 1020064600211.

1020064600201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 341663630400 + 678400969801 = 584520^2 + 823651^2 .

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 1020064600201 - 2¹ = 1020064600199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020064600211) 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, 2658930 + ... + 3018283.

It is an arithmetic number, because the mean of its divisors is an integer number (128120526945).

Almost surely, 2^{1020064600201} is an apocalyptic number.

It is an amenable number.

1020064600201 is a deficient number, since it is larger than the sum of its proper divisors (4899615359).

1020064600201 is an equidigital number, since it uses as much as digits as its factorization.

1020064600201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678075.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 1020064600201 in words is "one trillion, twenty billion, sixty-four million, six hundred thousand, two hundred one".