100111111011111 has 16 divisors (see below), whose sum is σ = 139135194767744. Its totient is φ = 63967728854304.

The previous prime is 100111111011083. The next prime is 100111111011169. The reversal of 100111111011111 is 111110111111001.

It is not a de Polignac number, because 100111111011111 - 2¹⁹ = 100111110486823 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 (100111111012111) 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, 6730603765 + ... + 6730618638.

It is an arithmetic number, because the mean of its divisors is an integer number (8695949672984).

Almost surely, 2^{100111111011111} is an apocalyptic number.

100111111011111 is a deficient number, since it is larger than the sum of its proper divisors (39024083756633).

100111111011111 is a wasteful number, since it uses less digits than its factorization.

100111111011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13461222510.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 100111111011111 its reverse (111110111111001), we get a palindrome (211221222122112).

It can be divided in two parts, 1001 and 11111011111, that multiplied together give a palindrome (11122122122111).

The spelling of 100111111011111 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, eleven thousand, one hundred eleven".