100110001101 has 12 divisors (see below), whose sum is σ = 146717688096. Its totient is φ = 60672727720.

The previous prime is 100110001073. The next prime is 100110001129. The reversal of 100110001101 is 101100011001.

It is an interprime number because it is at equal distance from previous prime (100110001073) and next prime (100110001129).

It is not a de Polignac number, because 100110001101 - 2²² = 100105806797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110001141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137892201 + ... + 137892926.

It is an arithmetic number, because the mean of its divisors is an integer number (12226474008).

Almost surely, 2^100110001101 is an apocalyptic number.

100110001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110001101 is a deficient number, since it is larger than the sum of its proper divisors (46607686995).

100110001101 is a wasteful number, since it uses less digits than its factorization.

100110001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275785152 (or 275785141 counting only the distinct ones).

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

Adding to 100110001101 its reverse (101100011001), we get a palindrome (201210012102).

The spelling of 100110001101 in words is "one hundred billion, one hundred ten million, one thousand, one hundred one".