100111100010001 has 4 divisors (see below), whose sum is σ = 100240609842612. Its totient is φ = 99981590177392.

The previous prime is 100111100009989. The next prime is 100111100010007. The reversal of 100111100010001 is 100010001111001.

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 6595933745025 + 93515166264976 = 2568255^2 + 9670324^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111100010001 - 2⁷ = 100111100009873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111100010007) 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, 64754915146 + ... + 64754916691.

It is an arithmetic number, because the mean of its divisors is an integer number (25060152460653).

Almost surely, 2^{100111100010001} is an apocalyptic number.

It is an amenable number.

100111100010001 is a deficient number, since it is larger than the sum of its proper divisors (129509832611).

100111100010001 is an equidigital number, since it uses as much as digits as its factorization.

100111100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129509832610.

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

Adding to 100111100010001 its reverse (100010001111001), we get a palindrome (200121101121002).

The spelling of 100111100010001 in words is "one hundred trillion, one hundred eleven billion, one hundred million, ten thousand, one".