100111200101 has 16 divisors (see below), whose sum is σ = 111033936000. Its totient is φ = 89504184000.

The previous prime is 100111200073. The next prime is 100111200103. The reversal of 100111200101 is 101002111001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100111200101 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 (100111200103) 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, 136841 + ... + 467918.

It is an arithmetic number, because the mean of its divisors is an integer number (6939621000).

Almost surely, 2^100111200101 is an apocalyptic number.

100111200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111200101 is a deficient number, since it is larger than the sum of its proper divisors (10922735899).

100111200101 is a wasteful number, since it uses less digits than its factorization.

100111200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605020.

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

Adding to 100111200101 its reverse (101002111001), we get a palindrome (201113311102).

The spelling of 100111200101 in words is "one hundred billion, one hundred eleven million, two hundred thousand, one hundred one".