100110001101001 has 8 divisors (see below), whose sum is σ = 101194224978560. Its totient is φ = 99030977338608.

The previous prime is 100110001100999. The next prime is 100110001101017. The reversal of 100110001101001 is 100101100011001.

It is a happy number.

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 100110001101001 - 2¹ = 100110001100999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100110001101101) 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 7 ways as a sum of consecutive naturals, for example, 1299990081 + ... + 1300067086.

It is an arithmetic number, because the mean of its divisors is an integer number (12649278122320).

Almost surely, 2^{100110001101001} is an apocalyptic number.

It is an amenable number.

100110001101001 is a deficient number, since it is larger than the sum of its proper divisors (1084223877559).

100110001101001 is a wasteful number, since it uses less digits than its factorization.

100110001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600057583.

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

Adding to 100110001101001 its reverse (100101100011001), we get a palindrome (200211101112002).

The spelling of 100110001101001 in words is "one hundred trillion, one hundred ten billion, one million, one hundred one thousand, one".