100110121011001 has 16 divisors (see below), whose sum is σ = 103498928822016. Its totient is φ = 96770395440000.

The previous prime is 100110121010989. The next prime is 100110121011029.

100110121011001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100110121011001 - 2⁷ = 100110121010873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110121081001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22878415 + ... + 26900596.

It is an arithmetic number, because the mean of its divisors is an integer number (6468683051376).

Almost surely, 2^{100110121011001} is an apocalyptic number.

It is an amenable number.

100110121011001 is a deficient number, since it is larger than the sum of its proper divisors (3388807811015).

100110121011001 is a wasteful number, since it uses less digits than its factorization.

100110121011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49779504.

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

The spelling of 100110121011001 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, eleven thousand, one".