100101101111101 has 4 divisors (see below), whose sum is σ = 101092201122204. Its totient is φ = 99110001100000.

The previous prime is 100101101111029. The next prime is 100101101111159. The reversal of 100101101111101 is 101111101101001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 53439769683001 + 46661331428100 = 7310251^2 + 6830910^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101101111101 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 (100101101112101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 495550005400 + ... + 495550005601.

It is an arithmetic number, because the mean of its divisors is an integer number (25273050280551).

Almost surely, 2^{100101101111101} is an apocalyptic number.

It is an amenable number.

100101101111101 is a deficient number, since it is larger than the sum of its proper divisors (991100011103).

100101101111101 is an equidigital number, since it uses as much as digits as its factorization.

100101101111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991100011102.

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

Adding to 100101101111101 its reverse (101111101101001), we get a palindrome (201212202212102).

The spelling of 100101101111101 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred one".