100111101001001 has 8 divisors (see below), whose sum is σ = 106903956576000. Its totient is φ = 93540962002320.

The previous prime is 100111101000971. The next prime is 100111101001019. The reversal of 100111101001001 is 100100101111001.

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 100111101001001 - 2¹⁴ = 100111100984617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111101001001.

It is not an unprimeable number, because it can be changed into a prime (100111101001081) 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, 55679143151 + ... + 55679144948.

It is an arithmetic number, because the mean of its divisors is an integer number (13362994572000).

Almost surely, 2^{100111101001001} is an apocalyptic number.

It is an amenable number.

100111101001001 is a deficient number, since it is larger than the sum of its proper divisors (6792855574999).

100111101001001 is a wasteful number, since it uses less digits than its factorization.

100111101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111358288159.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111101001001 its reverse (100100101111001), we get a palindrome (200211202112002).

The spelling of 100111101001001 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one thousand, one".