100110020110001 has 64 divisors (see below), whose sum is σ = 119004278803200. Its totient is φ = 83179501363200.

The previous prime is 100110020109961. The next prime is 100110020110013. The reversal of 100110020110001 is 100011020011001.

It is a happy number.

It is not a de Polignac number, because 100110020110001 - 2¹⁰ = 100110020108977 is a prime.

It is a super-3 number, since 3×100110020110001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110020110081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12787072355 + ... + 12787080183.

It is an arithmetic number, because the mean of its divisors is an integer number (1859441856300).

Almost surely, 2^{100110020110001} is an apocalyptic number.

100110020110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110020110001 is a deficient number, since it is larger than the sum of its proper divisors (18894258693199).

100110020110001 is a wasteful number, since it uses less digits than its factorization.

100110020110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15410.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100110020110001 its reverse (100011020011001), we get a palindrome (200121040121002).

The spelling of 100110020110001 in words is "one hundred trillion, one hundred ten billion, twenty million, one hundred ten thousand, one".