100111001101 has 16 divisors (see below), whose sum is σ = 102321722880. Its totient is φ = 97926364800.

The previous prime is 100111001099. The next prime is 100111001167. The reversal of 100111001101 is 101100111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100111001101 - 2¹ = 100111001099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10106251 + ... + 10116151.

It is an arithmetic number, because the mean of its divisors is an integer number (6395107680).

Almost surely, 2^100111001101 is an apocalyptic number.

It is an amenable number.

100111001101 is a deficient number, since it is larger than the sum of its proper divisors (2210721779).

100111001101 is a wasteful number, since it uses less digits than its factorization.

100111001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11196.

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

Adding to 100111001101 its reverse (101100111001), we get a palindrome (201211112102).

It can be divided in two parts, 100111001 and 101, that multiplied together give a palindrome (10111211101).

The spelling of 100111001101 in words is "one hundred billion, one hundred eleven million, one thousand, one hundred one".