100000100000001 has 4 divisors (see below), whose sum is σ = 133333466666672. Its totient is φ = 66666733333332.

The previous prime is 100000099999937. The next prime is 100000100000041. The reversal of 100000100000001 is 100000001000001.

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 not a de Polignac number, because 100000100000001 - 2⁶ = 100000099999937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3), and also a Moran number because the ratio is a prime number: 33333366666667 = 100000100000001 / (1 + 0 + 0 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000100000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16666683333331 + ... + 16666683333336.

It is an arithmetic number, because the mean of its divisors is an integer number (33333366666668).

Almost surely, 2^{100000100000001} is an apocalyptic number.

It is an amenable number.

100000100000001 is a deficient number, since it is larger than the sum of its proper divisors (33333366666671).

100000100000001 is an equidigital number, since it uses as much as digits as its factorization.

100000100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333366666670.

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

Adding to 100000100000001 its reverse (100000001000001), we get a palindrome (200000101000002).

The spelling of 100000100000001 in words is "one hundred trillion, one hundred million, one", and thus it is an aban number.