10000100001 has 16 divisors (see below), whose sum is σ = 14135571968. Its totient is φ = 6277305600.

The previous prime is 10000099999. The next prime is 10000100003.

10000100001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10000099999) and next prime (10000100003).

It is not a de Polignac number, because 10000100001 - 2¹ = 10000099999 is a prime.

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

10000100001 is a strobogrammatic number because it is the same when read upside-down.

It is the 100001-st Hogben number.

It is a Duffinian number.

10000100001 is a modest number, since divided by 100001 gives 1 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10000100003) by changing a digit.

It is a nontrivial repunit in base 100000.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1449640 + ... + 1456521.

It is an arithmetic number, because the mean of its divisors is an integer number (883473248).

Almost surely, 2^10000100001 is an apocalyptic number.

It is an amenable number.

10000100001 is a deficient number, since it is larger than the sum of its proper divisors (4135471967).

10000100001 is a wasteful number, since it uses less digits than its factorization.

10000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906232.

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

The spelling of 10000100001 in words is "ten billion, one hundred thousand, one".