100011101100001 has 32 divisors (see below), whose sum is σ = 125469009969408. Its totient is φ = 77608152311040.

The previous prime is 100011101099933. The next prime is 100011101100011. The reversal of 100011101100001 is 100001101110001.

It is a happy number.

It is not a de Polignac number, because 100011101100001 - 2¹⁵ = 100011101067233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (100011101100011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24034570 + ... + 27886963.

It is an arithmetic number, because the mean of its divisors is an integer number (3920906561544).

Almost surely, 2^{100011101100001} is an apocalyptic number.

It is an amenable number.

100011101100001 is a deficient number, since it is larger than the sum of its proper divisors (25457908869407).

100011101100001 is a wasteful number, since it uses less digits than its factorization.

100011101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51921961.

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

Adding to 100011101100001 its reverse (100001101110001), we get a palindrome (200012202210002).

The spelling of 100011101100001 in words is "one hundred trillion, eleven billion, one hundred one million, one hundred thousand, one".