100011001111101 has 12 divisors (see below), whose sum is σ = 149810717714112. Its totient is φ = 66674000740572.

The previous prime is 100011001111061. The next prime is 100011001111121. The reversal of 100011001111101 is 101111100110001.

100011001111101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100011001111101 - 2⁶ = 100011001111037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011001111121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205783952661 + ... + 205783953146.

It is an arithmetic number, because the mean of its divisors is an integer number (12484226476176).

Almost surely, 2^{100011001111101} is an apocalyptic number.

It is an amenable number.

100011001111101 is a deficient number, since it is larger than the sum of its proper divisors (49799716603011).

100011001111101 is an frugal number, since it uses more digits than its factorization.

100011001111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411567905822 (or 411567905810 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100011001111101 its reverse (101111100110001), we get a palindrome (201122101221102).

The spelling of 100011001111101 in words is "one hundred trillion, eleven billion, one million, one hundred eleven thousand, one hundred one".