100000000001 has 24 divisors (see below), whose sum is σ = 114737461440. Its totient is φ = 86925373920.

The previous prime is 99999999977. The next prime is 100000000003.

100000000001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10¹¹+1.

It is a sliding number, since 100000000001 = 1 + 100000000000 and 1/1 + 1/100000000000 = 1.00000000001.

It is not a de Polignac number, because 100000000001 - 2¹⁴ = 99999983617 is a prime.

100000000001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (100000000003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11386430 + ... + 11395208.

It is an arithmetic number, because the mean of its divisors is an integer number (4780727560).

Almost surely, 2^100000000001 is an apocalyptic number.

100000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000000001 is a deficient number, since it is larger than the sum of its proper divisors (14737461439).

100000000001 is a wasteful number, since it uses less digits than its factorization.

100000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

It can be divided in two parts, 10000000000 and 1, that added together give a palindrome (10000000001).

The spelling of 100000000001 in words is "one hundred billion, one", and thus it is an aban number.