100111200201 has 6 divisors (see below), whose sum is σ = 144605066970. Its totient is φ = 66740800128.

The previous prime is 100111200197. The next prime is 100111200229. The reversal of 100111200201 is 102002111001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 92136531600 + 7974668601 = 303540^2 + 89301^2 .

It is not a de Polignac number, because 100111200201 - 2² = 100111200197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11123466689 = 100111200201 / (1 + 0 + 0 + 1 + 1 + 1 + 2 + 0 + 0 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (100111200251) 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 5 ways as a sum of consecutive naturals, for example, 5561733336 + ... + 5561733353.

It is an arithmetic number, because the mean of its divisors is an integer number (24100844495).

Almost surely, 2^100111200201 is an apocalyptic number.

It is an amenable number.

100111200201 is a deficient number, since it is larger than the sum of its proper divisors (44493866769).

100111200201 is a wasteful number, since it uses less digits than its factorization.

100111200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123466695 (or 11123466692 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100111200201 its reverse (102002111001), we get a palindrome (202113311202).

The spelling of 100111200201 in words is "one hundred billion, one hundred eleven million, two hundred thousand, two hundred one".