100111001001 has 16 divisors (see below), whose sum is σ = 145885188288. Its totient is φ = 60561172800.

The previous prime is 100111000961. The next prime is 100111001009. The reversal of 100111001001 is 100100111001.

It is not a de Polignac number, because 100111001001 - 2¹⁰ = 100110999977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111001009) 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, 2785906 + ... + 2821611.

It is an arithmetic number, because the mean of its divisors is an integer number (9117824268).

Almost surely, 2^100111001001 is an apocalyptic number.

100111001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111001001 is a deficient number, since it is larger than the sum of its proper divisors (45774187287).

100111001001 is a wasteful number, since it uses less digits than its factorization.

100111001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608072.

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

Adding to 100111001001 its reverse (100100111001), we get a palindrome (200211112002).

Subtracting from 100111001001 its reverse (100100111001), we obtain a square (10890000 = 3300²).

The spelling of 100111001001 in words is "one hundred billion, one hundred eleven million, one thousand, one".