100010000010001 has 32 divisors (see below), whose sum is σ = 103163903400096. Its totient is φ = 96919649280000.

The previous prime is 100010000009999. The next prime is 100010000010049.

100010000010001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 4074322065025 + 95935677944976 = 2018495^2 + 9794676^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010000010001 - 2¹ = 100010000009999 is a prime.

100010000010001 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_{100010000010000}.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010000011001) 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, 3576753661 + ... + 3576781621.

It is an arithmetic number, because the mean of its divisors is an integer number (3223871981253).

Almost surely, 2^{100010000010001} is an apocalyptic number.

It is an amenable number.

100010000010001 is a deficient number, since it is larger than the sum of its proper divisors (3153903390095).

100010000010001 is a wasteful number, since it uses less digits than its factorization.

100010000010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31813.

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 1000100000 and 10001, that added together give a palindrome (1000110001).

The spelling of 100010000010001 in words is "one hundred trillion, ten billion, ten thousand, one".