100001100101 has 32 divisors (see below), whose sum is σ = 122285629440. Its totient is φ = 79823874816.

The previous prime is 100001100083. The next prime is 100001100131. The reversal of 100001100101 is 101001100001.

It is a de Polignac number, because none of the positive numbers 2^k-100001100101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19351220 + ... + 19356386.

It is an arithmetic number, because the mean of its divisors is an integer number (3821425920).

Almost surely, 2^100001100101 is an apocalyptic number.

It is an amenable number.

100001100101 is a deficient number, since it is larger than the sum of its proper divisors (22284529339).

100001100101 is a wasteful number, since it uses less digits than its factorization.

100001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100001100101 its reverse (101001100001), we get a palindrome (201002200102).

The spelling of 100001100101 in words is "one hundred billion, one million, one hundred thousand, one hundred one".