100110101100001 has 4 divisors (see below), whose sum is σ = 100110211069104. Its totient is φ = 100109991130900.

The previous prime is 100110101099989. The next prime is 100110101100017. The reversal of 100110101100001 is 100001101011001.

It is a happy number.

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 100110101100001 - 2¹⁷ = 100110100968929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110101100601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53607535 + ... + 55443556.

It is an arithmetic number, because the mean of its divisors is an integer number (25027552767276).

Almost surely, 2^{100110101100001} is an apocalyptic number.

It is an amenable number.

100110101100001 is a deficient number, since it is larger than the sum of its proper divisors (109969103).

100110101100001 is an equidigital number, since it uses as much as digits as its factorization.

100110101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109969102.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110101100001 its reverse (100001101011001), we get a palindrome (200111202111002).

The spelling of 100110101100001 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred thousand, one".