101100100110101 has 8 divisors (see below), whose sum is σ = 101270942841600. Its totient is φ = 100929264250672.

The previous prime is 101100100110073. The next prime is 101100100110143. The reversal of 101100100110101 is 101011001001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100100110101 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 (101100100110161) 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, 28169156 + ... + 31554738.

It is an arithmetic number, because the mean of its divisors is an integer number (12658867855200).

Almost surely, 2^{101100100110101} is an apocalyptic number.

It is an amenable number.

101100100110101 is a deficient number, since it is larger than the sum of its proper divisors (170842731499).

101100100110101 is an equidigital number, since it uses as much as digits as its factorization.

101100100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436035.

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

Adding to 101100100110101 its reverse (101011001001101), we get a palindrome (202111101111202).

The spelling of 101100100110101 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred ten thousand, one hundred one".