100110001001101 has 24 divisors (see below), whose sum is σ = 126226833667200. Its totient is φ = 77713423909056.

The previous prime is 100110001001099. The next prime is 100110001001111. The reversal of 100110001001101 is 101100100011001.

It is a happy number.

It is not a de Polignac number, because 100110001001101 - 2¹ = 100110001001099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110001001111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798275401 + ... + 798400798.

It is an arithmetic number, because the mean of its divisors is an integer number (5259451402800).

Almost surely, 2^{100110001001101} is an apocalyptic number.

It is an amenable number.

100110001001101 is a deficient number, since it is larger than the sum of its proper divisors (26116832666099).

100110001001101 is a wasteful number, since it uses less digits than its factorization.

100110001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596676285 (or 1596676272 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110001001101 its reverse (101100100011001), we get a palindrome (201210101012102).

The spelling of 100110001001101 in words is "one hundred trillion, one hundred ten billion, one million, one thousand, one hundred one".