100101111110001 has 24 divisors (see below), whose sum is σ = 149600227445760. Its totient is φ = 64422623311200.

The previous prime is 100101111109991. The next prime is 100101111110149. The reversal of 100101111110001 is 100011111101001.

It is not a de Polignac number, because 100101111110001 - 2⁵ = 100101111109969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100101111110801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28942855 + ... + 32216316.

It is an arithmetic number, because the mean of its divisors is an integer number (6233342810240).

Almost surely, 2^{100101111110001} is an apocalyptic number.

It is an amenable number.

100101111110001 is a deficient number, since it is larger than the sum of its proper divisors (49499116335759).

100101111110001 is a wasteful number, since it uses less digits than its factorization.

100101111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61165477 (or 61165474 counting only the distinct ones).

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

Adding to 100101111110001 its reverse (100011111101001), we get a palindrome (200112222211002).

The spelling of 100101111110001 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one".