100011001100101 has 32 divisors (see below), whose sum is σ = 123849297831168. Its totient is φ = 78641789690880.

The previous prime is 100011001100051. The next prime is 100011001100107. The reversal of 100011001100101 is 101001100110001.

It is a happy number.

It is not a de Polignac number, because 100011001100101 - 2¹¹ = 100011001098053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011001100107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635085165 + ... + 635242621.

It is an arithmetic number, because the mean of its divisors is an integer number (3870290557224).

Almost surely, 2^{100011001100101} is an apocalyptic number.

It is an amenable number.

100011001100101 is a deficient number, since it is larger than the sum of its proper divisors (23838296731067).

100011001100101 is a wasteful number, since it uses less digits than its factorization.

100011001100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200461.

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

Adding to 100011001100101 its reverse (101001100110001), we get a palindrome (201012101210102).

The spelling of 100011001100101 in words is "one hundred trillion, eleven billion, one million, one hundred thousand, one hundred one".