100010100101101 has 8 divisors (see below), whose sum is σ = 104395150151424. Its totient is φ = 95628115453200.

The previous prime is 100010100101081. The next prime is 100010100101111. The reversal of 100010100101101 is 101101001010001.

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 100010100101101 - 2²⁹ = 100009563230189 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 (100010100101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766283925 + ... + 766414426.

It is an arithmetic number, because the mean of its divisors is an integer number (13049393768928).

Almost surely, 2^{100010100101101} is an apocalyptic number.

It is an amenable number.

100010100101101 is a deficient number, since it is larger than the sum of its proper divisors (4385050050323).

100010100101101 is a wasteful number, since it uses less digits than its factorization.

100010100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532701211.

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

Adding to 100010100101101 its reverse (101101001010001), we get a palindrome (201111101111102).

The spelling of 100010100101101 in words is "one hundred trillion, ten billion, one hundred million, one hundred one thousand, one hundred one".