100110111011201 has 8 divisors (see below), whose sum is σ = 100141033905600. Its totient is φ = 100079190847440.

The previous prime is 100110111011137. The next prime is 100110111011203. The reversal of 100110111011201 is 102110111011001.

It is a happy number.

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 100110111011201 - 2⁶ = 100110111011137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110111011203) 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 7 ways as a sum of consecutive naturals, for example, 73907690 + ... + 75250028.

It is an arithmetic number, because the mean of its divisors is an integer number (12517629238200).

Almost surely, 2^{100110111011201} is an apocalyptic number.

It is an amenable number.

100110111011201 is a deficient number, since it is larger than the sum of its proper divisors (30922894399).

100110111011201 is a wasteful number, since it uses less digits than its factorization.

100110111011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365319.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100110111011201 its reverse (102110111011001), we get a palindrome (202220222022202).

The spelling of 100110111011201 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, eleven thousand, two hundred one".