10110101100101 has 8 divisors (see below), whose sum is σ = 10113042119040. Its totient is φ = 10107160377552.

The previous prime is 10110101100079. The next prime is 10110101100109. The reversal of 10110101100101 is 10100110101101.

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 10110101100101 - 2¹⁴ = 10110101083717 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 (10110101100109) 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, 80571056 + ... + 80696438.

It is an arithmetic number, because the mean of its divisors is an integer number (1264130264880).

Almost surely, 2^{10110101100101} is an apocalyptic number.

It is an amenable number.

10110101100101 is a deficient number, since it is larger than the sum of its proper divisors (2941018939).

10110101100101 is a wasteful number, since it uses less digits than its factorization.

10110101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148195.

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

Adding to 10110101100101 its reverse (10100110101101), we get a palindrome (20210211201202).

The spelling of 10110101100101 in words is "ten trillion, one hundred ten billion, one hundred one million, one hundred thousand, one hundred one".