8800010001 has 6 divisors (see below), whose sum is σ = 12711125570. Its totient is φ = 5866673328.

The previous prime is 8800009987. The next prime is 8800010003. The reversal of 8800010001 is 1000100088.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8760960000 + 39050001 = 93600^2 + 6249^2 .

It is not a de Polignac number, because 8800010001 - 2⁵ = 8800009969 is a prime.

It is a Duffinian number.

8800010001 is a modest number, since divided by 10001 gives 88 as remainder.

It is not an unprimeable number, because it can be changed into a prime (8800010003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 488889436 + ... + 488889453.

Almost surely, 2^8800010001 is an apocalyptic number.

It is an amenable number.

8800010001 is a deficient number, since it is larger than the sum of its proper divisors (3911115569).

8800010001 is a wasteful number, since it uses less digits than its factorization.

8800010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977778895 (or 977778892 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8800010001 is about 93808.3685019626. The cubic root of 8800010001 is about 2064.5610130210.

Adding to 8800010001 its reverse (1000100088), we get a palindrome (9800110089).

The spelling of 8800010001 in words is "eight billion, eight hundred million, ten thousand, one".