100110100101 has 16 divisors (see below), whose sum is σ = 145627614720. Its totient is φ = 60667403120.

The previous prime is 100110100091. The next prime is 100110100159. The reversal of 100110100101 is 101001011001.

It is a cyclic number.

It is not a de Polignac number, because 100110100101 - 2⁹ = 100110099589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110100801) 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, 260110 + ... + 517568.

It is an arithmetic number, because the mean of its divisors is an integer number (9101725920).

Almost surely, 2^100110100101 is an apocalyptic number.

100110100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110100101 is a deficient number, since it is larger than the sum of its proper divisors (45517514619).

100110100101 is a wasteful number, since it uses less digits than its factorization.

100110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269256.

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

Adding to 100110100101 its reverse (101001011001), we get a palindrome (201111111102).

It can be divided in two parts, 1001 and 10100101, that multiplied together give a palindrome (10110201101).

The spelling of 100110100101 in words is "one hundred billion, one hundred ten million, one hundred thousand, one hundred one".