100000010000001 has 32 divisors (see below), whose sum is σ = 140194032964480. Its totient is φ = 63323603933184.

The previous prime is 100000009999999. The next prime is 100000010000003.

100000010000001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (100000009999999) and next prime (100000010000003).

It is not a de Polignac number, because 100000010000001 - 2¹ = 100000009999999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

100000010000001 is a strobogrammatic number because it is the same when read upside-down.

It is the 10000001-st Hogben number.

It is a Duffinian number.

100000010000001 is a modest number, since divided by 10000001 gives 1 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100000010000003) by changing a digit.

It is a nontrivial repunit in base 10000000.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3806865 + ... + 14645553.

It is an arithmetic number, because the mean of its divisors is an integer number (4381063530140).

Almost surely, 2^{100000010000001} is an apocalyptic number.

It is an amenable number.

100000010000001 is a deficient number, since it is larger than the sum of its proper divisors (40194022964479).

100000010000001 is a wasteful number, since it uses less digits than its factorization.

100000010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10840705.

The product of its (nonzero) digits is 1, while the sum is 3.

The spelling of 100000010000001 in words is "one hundred trillion, ten million, one", and thus it is an aban number.