100010001111 has 16 divisors (see below), whose sum is σ = 144158563200. Its totient is φ = 61457069088.

The previous prime is 100010001103. The next prime is 100010001121. The reversal of 100010001111 is 111100010001.

It is not a de Polignac number, because 100010001111 - 2³ = 100010001103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100010001111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23708181 + ... + 23712398.

It is an arithmetic number, because the mean of its divisors is an integer number (9009910200).

Almost surely, 2^100010001111 is an apocalyptic number.

100010001111 is a deficient number, since it is larger than the sum of its proper divisors (44148562089).

100010001111 is a wasteful number, since it uses less digits than its factorization.

100010001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47420638.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010001111 its reverse (111100010001), we get a palindrome (211110011112).

It can be divided in two parts, 100010001 and 111, that multiplied together give a palindrome (11101110111).

The spelling of 100010001111 in words is "one hundred billion, ten million, one thousand, one hundred eleven".