2801000100001 has 4 divisors (see below), whose sum is σ = 2805922772100. Its totient is φ = 2796077427904.

The previous prime is 2801000099867. The next prime is 2801000100007. The reversal of 2801000100001 is 1000010001082.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1249420950625 + 1551579149376 = 1117775^2 + 1245624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2801000100001 - 2²⁷ = 2800865882273 is a prime.

It is a super-2 number, since 2×2801000100001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2801000100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2461335196 + ... + 2461336333.

It is an arithmetic number, because the mean of its divisors is an integer number (701480693025).

Almost surely, 2^{2801000100001} is an apocalyptic number.

It is an amenable number.

2801000100001 is a deficient number, since it is larger than the sum of its proper divisors (4922672099).

2801000100001 is an equidigital number, since it uses as much as digits as its factorization.

2801000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922672098.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2801000100001 its reverse (1000010001082), we get a palindrome (3801010101083).

The spelling of 2801000100001 in words is "two trillion, eight hundred one billion, one hundred thousand, one".