100100001101111 has 8 divisors (see below), whose sum is σ = 109238223147024. Its totient is φ = 90968149379520.

The previous prime is 100100001101101. The next prime is 100100001101141. The reversal of 100100001101111 is 111101100001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100001101111 - 2³⁴ = 100082821231927 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 (100100001101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1592548220 + ... + 1592611073.

It is an arithmetic number, because the mean of its divisors is an integer number (13654777893378).

Almost surely, 2^{100100001101111} is an apocalyptic number.

100100001101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100001101111 is a deficient number, since it is larger than the sum of its proper divisors (9138222045913).

100100001101111 is a wasteful number, since it uses less digits than its factorization.

100100001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185162161.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100100001101111 its reverse (111101100001001), we get a palindrome (211201101102112).

It can be divided in two parts, 10010000 and 1101111, that added together give a palindrome (11111111).

The spelling of 100100001101111 in words is "one hundred trillion, one hundred billion, one million, one hundred one thousand, one hundred eleven".