100110121000111 has 16 divisors (see below), whose sum is σ = 100271254790304. Its totient is φ = 99949163094144.

The previous prime is 100110121000079. The next prime is 100110121000181. The reversal of 100110121000111 is 111000121011001.

It is a cyclic number.

It is not a de Polignac number, because 100110121000111 - 2⁵ = 100110121000079 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 (100110121000181) 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, 8573268205 + ... + 8573279881.

It is an arithmetic number, because the mean of its divisors is an integer number (6266953424394).

Almost surely, 2^{100110121000111} is an apocalyptic number.

100110121000111 is a deficient number, since it is larger than the sum of its proper divisors (161133790193).

100110121000111 is a wasteful number, since it uses less digits than its factorization.

100110121000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18090.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100110121000111 its reverse (111000121011001), we get a palindrome (211110242011112).

The spelling of 100110121000111 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, one hundred eleven", and thus it is an aban number.