1020304030201 has 27 divisors (see below), whose sum is σ = 1052498029863. Its totient is φ = 989090899200.

The previous prime is 1020304030183. The next prime is 1020304030241.

It is a happy number.

The square root of 1020304030201 is 1010101.

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

1020304030201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 13 ways, for example, as 1940490601 + 1018363539600 = 44051^2 + 1009140^2 .

It is not a de Polignac number, because 1020304030201 - 2⁵ = 1020304030169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020304030241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7447474605 + ... + 7447474741.

Almost surely, 2^{1020304030201} is an apocalyptic number.

1020304030201 is the 1010101-st square number.

1020304030201 is the 505051-st centered octagonal number.

It is an amenable number.

1020304030201 is a deficient number, since it is larger than the sum of its proper divisors (32193999662).

1020304030201 is an frugal number, since it uses more digits than its factorization.

1020304030201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Multiplying 1020304030201 by its sum of digits (16), we get a square (16324864483216 = 4040404²).

Multiplying 1020304030201 by its product of nonzero digits (144), we get a square (146923780348944 = 12121212²).

The spelling of 1020304030201 in words is "one trillion, twenty billion, three hundred four million, thirty thousand, two hundred one".