100100100001 has 4 divisors (see below), whose sum is σ = 109200109104. Its totient is φ = 91000090900.

The previous prime is 100100099987. The next prime is 100100100011. The reversal of 100100100001 is 100001001001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100100100001 - 2¹¹ = 100100097953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100100011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550004535 + ... + 4550004556.

It is an arithmetic number, because the mean of its divisors is an integer number (27300027276).

Almost surely, 2^100100100001 is an apocalyptic number.

100100100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100100001 is a deficient number, since it is larger than the sum of its proper divisors (9100009103).

100100100001 is an equidigital number, since it uses as much as digits as its factorization.

100100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100009102.

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

Adding to 100100100001 its reverse (100001001001), we get a palindrome (200101101002).

The spelling of 100100100001 in words is "one hundred billion, one hundred million, one hundred thousand, one".