100111111001101 has 8 divisors (see below), whose sum is σ = 102931269211008. Its totient is φ = 97308972972000.

The previous prime is 100111111001017. The next prime is 100111111001131. The reversal of 100111111001101 is 101100111111001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111111001101 - 2¹⁵ = 100111110968333 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 (100111111001131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4505033935 + ... + 4505056156.

It is an arithmetic number, because the mean of its divisors is an integer number (12866408651376).

Almost surely, 2^{100111111001101} is an apocalyptic number.

It is an amenable number.

100111111001101 is a deficient number, since it is larger than the sum of its proper divisors (2820158209907).

100111111001101 is an equidigital number, since it uses as much as digits as its factorization.

100111111001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010090403.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111111001101 its reverse (101100111111001), we get a palindrome (201211222112102).

It can be divided in two parts, 100111111001 and 101, that multiplied together give a palindrome (10111222211101).

The spelling of 100111111001101 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one thousand, one hundred one".