100111111001011 has 16 divisors (see below), whose sum is σ = 109684048561920. Its totient is φ = 90617604485920.

The previous prime is 100111111001003. The next prime is 100111111001017. The reversal of 100111111001011 is 110100111111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100111111001011 - 2³ = 100111111001003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111111001017) 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, 16832485 + ... + 21989878.

It is an arithmetic number, because the mean of its divisors is an integer number (6855253035120).

Almost surely, 2^{100111111001011} is an apocalyptic number.

100111111001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111111001011 is a deficient number, since it is larger than the sum of its proper divisors (9572937560909).

100111111001011 is a wasteful number, since it uses less digits than its factorization.

100111111001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38823386.

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

Adding to 100111111001011 its reverse (110100111111001), we get a palindrome (210211222112012).

The spelling of 100111111001011 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one thousand, eleven".