100001111111111 has 32 divisors (see below), whose sum is σ = 122356268236800. Its totient is φ = 79817679629280.

The previous prime is 100001111111021. The next prime is 100001111111129. The reversal of 100001111111111 is 111111111100001.

It is a cyclic number.

It is not a de Polignac number, because 100001111111111 - 2¹⁴ = 100001111094727 is a prime.

It is a Duffinian number.

100001111111111 is a modest number, since divided by 11111111 gives 1000011 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100001111111092 and 100001111111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001111111171) 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, 62861426 + ... + 64432608.

It is an arithmetic number, because the mean of its divisors is an integer number (3823633382400).

Almost surely, 2^{100001111111111} is an apocalyptic number.

100001111111111 is a deficient number, since it is larger than the sum of its proper divisors (22355157125689).

100001111111111 is a wasteful number, since it uses less digits than its factorization.

100001111111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579379.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 100001111111111 its reverse (111111111100001), we get a palindrome (211112222211112).

It can be divided in two parts, 100001 and 111111111, that multiplied together give a palindrome (11111222211111).

The spelling of 100001111111111 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".