100110110100101 has 4 divisors (see below), whose sum is σ = 100996040278092. Its totient is φ = 99224179922112.

The previous prime is 100110110100089. The next prime is 100110110100103. The reversal of 100110110100101 is 101001011011001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 670801950625 + 99439308149476 = 819025^2 + 9971926^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110110100101 - 2¹⁴ = 100110110083717 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 (100110110100103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 442965088826 + ... + 442965089051.

It is an arithmetic number, because the mean of its divisors is an integer number (25249010069523).

Almost surely, 2^{100110110100101} is an apocalyptic number.

It is an amenable number.

100110110100101 is a deficient number, since it is larger than the sum of its proper divisors (885930177991).

100110110100101 is an equidigital number, since it uses as much as digits as its factorization.

100110110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885930177990.

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

Adding to 100110110100101 its reverse (101001011011001), we get a palindrome (201111121111102).

The spelling of 100110110100101 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred thousand, one hundred one".