100200100101 has 16 divisors (see below), whose sum is σ = 141298237440. Its totient is φ = 62984340720.

The previous prime is 100200100067. The next prime is 100200100123. The reversal of 100200100101 is 101001002001.

It is not a de Polignac number, because 100200100101 - 2³⁰ = 99126358277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100200100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200100501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4153605 + ... + 4177658.

It is an arithmetic number, because the mean of its divisors is an integer number (8831139840).

Almost surely, 2^100200100101 is an apocalyptic number.

It is an amenable number.

100200100101 is a deficient number, since it is larger than the sum of its proper divisors (41098137339).

100200100101 is a wasteful number, since it uses less digits than its factorization.

100200100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331496.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100200100101 its reverse (101001002001), we get a palindrome (201201102102).

The spelling of 100200100101 in words is "one hundred billion, two hundred million, one hundred thousand, one hundred one".