100101001100101 has 8 divisors (see below), whose sum is σ = 101812093591104. Its totient is φ = 98398275810240.

The previous prime is 100101001100053. The next prime is 100101001100153. The reversal of 100101001100101 is 101001100101001.

It is a happy number.

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 100101001100101 - 2¹¹ = 100101001098053 is a prime.

It is a super-2 number, since 2×100101001100101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101031100101) 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 7 ways as a sum of consecutive naturals, for example, 2091776155 + ... + 2091824008.

It is an arithmetic number, because the mean of its divisors is an integer number (12726511698888).

Almost surely, 2^{100101001100101} is an apocalyptic number.

It is an amenable number.

100101001100101 is a deficient number, since it is larger than the sum of its proper divisors (1711092491003).

100101001100101 is an equidigital number, since it uses as much as digits as its factorization.

100101001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183600571.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101001100101 its reverse (101001100101001), we get a palindrome (201102101201102).

The spelling of 100101001100101 in words is "one hundred trillion, one hundred one billion, one million, one hundred thousand, one hundred one".