101001100100111 has 4 divisors (see below), whose sum is σ = 101242152845400. Its totient is φ = 100760047354824.

The previous prime is 101001100100081. The next prime is 101001100100209. The reversal of 101001100100111 is 111001001100101.

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

It is a cyclic number.

It is not a de Polignac number, because 101001100100111 - 2¹⁰ = 101001100099087 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 (101001100100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120526372016 + ... + 120526372853.

It is an arithmetic number, because the mean of its divisors is an integer number (25310538211350).

Almost surely, 2^{101001100100111} is an apocalyptic number.

101001100100111 is a deficient number, since it is larger than the sum of its proper divisors (241052745289).

101001100100111 is an equidigital number, since it uses as much as digits as its factorization.

101001100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241052745288.

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

Adding to 101001100100111 its reverse (111001001100101), we get a palindrome (212002101200212).

The spelling of 101001100100111 in words is "one hundred one trillion, one billion, one hundred million, one hundred thousand, one hundred eleven".