100100101101 has 64 divisors (see below), whose sum is σ = 180274139136. Its totient is φ = 47712384000.

The previous prime is 100100101051. The next prime is 100100101111. The reversal of 100100101101 is 101101001001.

It is not a de Polignac number, because 100100101101 - 2⁹ = 100100100589 is a prime.

100100101101 is a modest number, since divided by 101101 gives 1001 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100100101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101111) 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 63 ways as a sum of consecutive naturals, for example, 401701 + ... + 601301.

It is an arithmetic number, because the mean of its divisors is an integer number (2816783424).

Almost surely, 2^100100101101 is an apocalyptic number.

100100101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100101101 is a deficient number, since it is larger than the sum of its proper divisors (80174038035).

100100101101 is a wasteful number, since it uses less digits than its factorization.

100100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199802.

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

Adding to 100100101101 its reverse (101101001001), we get a palindrome (201201102102).

The spelling of 100100101101 in words is "one hundred billion, one hundred million, one hundred one thousand, one hundred one".