100100101110101 has 4 divisors (see below), whose sum is σ = 101091191220204. Its totient is φ = 99109011000000.

The previous prime is 100100101110077. The next prime is 100100101110103. The reversal of 100100101110101 is 101011101001001.

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 96145849549201 + 3954251560900 = 9805399^2 + 1988530^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100101110101 - 2¹⁴ = 100100101093717 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 (100100101110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 495545054900 + ... + 495545055101.

It is an arithmetic number, because the mean of its divisors is an integer number (25272797805051).

Almost surely, 2^{100100101110101} is an apocalyptic number.

It is an amenable number.

100100101110101 is a deficient number, since it is larger than the sum of its proper divisors (991090110103).

100100101110101 is an equidigital number, since it uses as much as digits as its factorization.

100100101110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991090110102.

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

Adding to 100100101110101 its reverse (101011101001001), we get a palindrome (201111202111102).

The spelling of 100100101110101 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred ten thousand, one hundred one".