100101000110101 has 8 divisors (see below), whose sum is σ = 100113982795008. Its totient is φ = 100088018262000.

The previous prime is 100101000110087. The next prime is 100101000110141. The reversal of 100101000110101 is 101011000101001.

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 100101000110101 - 2⁷ = 100101000109973 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 (100101000110141) 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, 259546116 + ... + 259931506.

It is an arithmetic number, because the mean of its divisors is an integer number (12514247849376).

Almost surely, 2^{100101000110101} is an apocalyptic number.

It is an amenable number.

100101000110101 is a deficient number, since it is larger than the sum of its proper divisors (12982684907).

100101000110101 is a wasteful number, since it uses less digits than its factorization.

100101000110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418403.

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

Adding to 100101000110101 its reverse (101011000101001), we get a palindrome (201112000211102).

The spelling of 100101000110101 in words is "one hundred trillion, one hundred one billion, one hundred ten thousand, one hundred one".