1004100201 has 36 divisors (see below), whose sum is σ = 1648536708. Its totient is φ = 585361728.

The previous prime is 1004100161. The next prime is 1004100221. The reversal of 1004100201 is 1020014001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 191850201 + 812250000 = 13851^2 + 28500^2 .

It is not a de Polignac number, because 1004100201 - 2⁹ = 1004099689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1004100221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30351 + ... + 54123.

Almost surely, 2^1004100201 is an apocalyptic number.

It is an amenable number.

1004100201 is a deficient number, since it is larger than the sum of its proper divisors (644436507).

1004100201 is a wasteful number, since it uses less digits than its factorization.

1004100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23830 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1004100201 is about 31687.5401538207. The cubic root of 1004100201 is about 1001.3648699492.

Adding to 1004100201 its reverse (1020014001), we get a palindrome (2024114202).

The spelling of 1004100201 in words is "one billion, four million, one hundred thousand, two hundred one".