100101101000111 has 8 divisors (see below), whose sum is σ = 100287023209680. Its totient is φ = 99915320449728.

The previous prime is 100101101000029. The next prime is 100101101000123. The reversal of 100101101000111 is 111000101101001.

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 100101101000111 - 2²⁶ = 100101033891247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101101000611) 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, 34000166 + ... + 36826803.

It is an arithmetic number, because the mean of its divisors is an integer number (12535877901210).

Almost surely, 2^{100101101000111} is an apocalyptic number.

100101101000111 is a deficient number, since it is larger than the sum of its proper divisors (185922209569).

100101101000111 is an equidigital number, since it uses as much as digits as its factorization.

100101101000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70829593.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101101000111 its reverse (111000101101001), we get a palindrome (211101202101112).

The spelling of 100101101000111 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred eleven", and thus it is an aban number.