100018000810001 has 32 divisors (see below), whose sum is σ = 109908436936608. Its totient is φ = 90656422871040.

The previous prime is 100018000809989. The next prime is 100018000810019.

100018000810001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10000900²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 26105723109376 + 73912277700625 = 5109376^2 + 8597225^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100018000810001 is a prime.

100018000810001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100018000810201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5549051 + ... + 15193023.

It is an arithmetic number, because the mean of its divisors is an integer number (3434638654269).

Almost surely, 2^{100018000810001} is an apocalyptic number.

It is an amenable number.

100018000810001 is a deficient number, since it is larger than the sum of its proper divisors (9890436126607).

100018000810001 is a wasteful number, since it uses less digits than its factorization.

100018000810001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644261.

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 100018000 and 810001, that added together give a palindrome (100828001).

The spelling of 100018000810001 in words is "one hundred trillion, eighteen billion, eight hundred ten thousand, one".