100110101111101 has 36 divisors (see below), whose sum is σ = 105214799375868. Its totient is φ = 95244376372992.

The previous prime is 100110101111003. The next prime is 100110101111117. The reversal of 100110101111101 is 101111101011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38975685788601 + 61134415322500 = 6243051^2 + 7818850^2 .

It is not a de Polignac number, because 100110101111101 - 2²¹ = 100110099013949 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 (100110101111131) 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 35 ways as a sum of consecutive naturals, for example, 48762834391 + ... + 48762836443.

Almost surely, 2^{100110101111101} is an apocalyptic number.

It is an amenable number.

100110101111101 is a deficient number, since it is larger than the sum of its proper divisors (5104698264767).

100110101111101 is an frugal number, since it uses more digits than its factorization.

100110101111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100110101111101 its reverse (101111101011001), we get a palindrome (201221202122102).

It can be divided in two parts, 10011010 and 1111101, that added together give a palindrome (11122111).

The spelling of 100110101111101 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, one hundred one".