100101100000001 has 8 divisors (see below), whose sum is σ = 100127976147360. Its totient is φ = 100074224863008.

The previous prime is 100101099999997. The next prime is 100101100000009. The reversal of 100101100000001 is 100000001101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101100000001 - 2² = 100101099999997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101100000009) 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 7 ways as a sum of consecutive naturals, for example, 224552390 + ... + 224997728.

It is an arithmetic number, because the mean of its divisors is an integer number (12515997018420).

Almost surely, 2^{100101100000001} is an apocalyptic number.

It is an amenable number.

100101100000001 is a deficient number, since it is larger than the sum of its proper divisors (26876147359).

100101100000001 is an equidigital number, since it uses as much as digits as its factorization.

100101100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505183.

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

Adding to 100101100000001 its reverse (100000001101001), we get a palindrome (200101101101002).

The spelling of 100101100000001 in words is "one hundred trillion, one hundred one billion, one hundred million, one", and thus it is an aban number.