100100011110101 has 8 divisors (see below), whose sum is σ = 106093289937240. Its totient is φ = 94118403714048.

The previous prime is 100100011110061. The next prime is 100100011110103. The reversal of 100100011110101 is 101011110001001.

It can be written as a sum of positive squares in 4 ways, for example, as 27158418967876 + 72941592142225 = 5211374^2 + 8540585^2 .

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 100100011110101 - 2¹⁸ = 100100010847957 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 (100100011110103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2917840106 + ... + 2917874411.

It is an arithmetic number, because the mean of its divisors is an integer number (13261661242155).

Almost surely, 2^{100100011110101} is an apocalyptic number.

It is an amenable number.

100100011110101 is a deficient number, since it is larger than the sum of its proper divisors (5993278827139).

100100011110101 is a wasteful number, since it uses less digits than its factorization.

100100011110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835715543.

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

Adding to 100100011110101 its reverse (101011110001001), we get a palindrome (201111121111102).

The spelling of 100100011110101 in words is "one hundred trillion, one hundred billion, eleven million, one hundred ten thousand, one hundred one".