100010111011111 has 32 divisors (see below), whose sum is σ = 117529516855296. Its totient is φ = 83314707840000.

The previous prime is 100010111011051. The next prime is 100010111011121. The reversal of 100010111011111 is 111110111010001.

It is a happy number.

It is not a de Polignac number, because 100010111011111 - 2⁷ = 100010111010983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010111011121) 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 31 ways as a sum of consecutive naturals, for example, 792717886 + ... + 792844036.

It is an arithmetic number, because the mean of its divisors is an integer number (3672797401728).

Almost surely, 2^{100010111011111} is an apocalyptic number.

100010111011111 is a deficient number, since it is larger than the sum of its proper divisors (17519405844185).

100010111011111 is a wasteful number, since it uses less digits than its factorization.

100010111011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136663.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100010111011111 its reverse (111110111010001), we get a palindrome (211120222021112).

The spelling of 100010111011111 in words is "one hundred trillion, ten billion, one hundred eleven million, eleven thousand, one hundred eleven".