100200112101 has 20 divisors (see below), whose sum is σ = 150038935200. Its totient is φ = 66640624776.

The previous prime is 100200112013. The next prime is 100200112121. The reversal of 100200112101 is 101211002001.

It is a happy number.

It is not a de Polignac number, because 100200112101 - 2⁹ = 100200111589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200112121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1442241 + ... + 1510118.

It is an arithmetic number, because the mean of its divisors is an integer number (7501946760).

Almost surely, 2^100200112101 is an apocalyptic number.

It is an amenable number.

100200112101 is a deficient number, since it is larger than the sum of its proper divisors (49838823099).

100200112101 is an equidigital number, since it uses as much as digits as its factorization.

100200112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952790 (or 2952781 counting only the distinct ones).

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

Adding to 100200112101 its reverse (101211002001), we get a palindrome (201411114102).

The spelling of 100200112101 in words is "one hundred billion, two hundred million, one hundred twelve thousand, one hundred one".