100111111001111 has 16 divisors (see below), whose sum is σ = 116017616550144. Its totient is φ = 84606597607104.

The previous prime is 100111111001017. The next prime is 100111111001131. The reversal of 100111111001111 is 111100111111001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111111001111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111111001092 and 100111111001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111111001131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30197561 + ... + 33348386.

It is an arithmetic number, because the mean of its divisors is an integer number (7251101034384).

Almost surely, 2^{100111111001111} is an apocalyptic number.

100111111001111 is a deficient number, since it is larger than the sum of its proper divisors (15906505549033).

100111111001111 is an equidigital number, since it uses as much as digits as its factorization.

100111111001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63549110.

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

Adding to 100111111001111 its reverse (111100111111001), we get a palindrome (211211222112112).

It can be divided in two parts, 100111111001 and 111, that multiplied together give a palindrome (11112333321111).

The spelling of 100111111001111 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one thousand, one hundred eleven".