100101111111001 has 96 divisors (see below), whose sum is σ = 136050948864000. Its totient is φ = 71516364042240.

The previous prime is 100101111110999. The next prime is 100101111111011. The reversal of 100101111111001 is 100111111101001.

It is a happy number.

It is not a de Polignac number, because 100101111111001 - 2¹ = 100101111110999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101111111011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2066088825 + ... + 2066137273.

It is an arithmetic number, because the mean of its divisors is an integer number (1417197384000).

Almost surely, 2^{100101111111001} is an apocalyptic number.

100101111111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101111111001 is a deficient number, since it is larger than the sum of its proper divisors (35949837752999).

100101111111001 is a wasteful number, since it uses less digits than its factorization.

100101111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49559 (or 49546 counting only the distinct ones).

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

Adding to 100101111111001 its reverse (100111111101001), we get a palindrome (200212222212002).

It can be divided in two parts, 100 and 101111111001, that added together give a palindrome (101111111101).

The spelling of 100101111111001 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one".