200001100100112 has 100 divisors (see below), whose sum is σ = 583983874691580. Its totient is φ = 66077059571712.

The previous prime is 200001100100047. The next prime is 200001100100143. The reversal of 200001100100112 is 211001001100002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65986118297856 + 134014981802256 = 8123184^2 + 11576484^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 200001100100094 and 200001100100103.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 682693537 + ... + 682986432.

Almost surely, 2^{200001100100112} is an apocalyptic number.

It is an amenable number.

200001100100112 is an abundant number, since it is smaller than the sum of its proper divisors (383982774591468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200001100100112 is a wasteful number, since it uses less digits than its factorization.

200001100100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365680102 (or 1365680087 counting only the distinct ones).

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

Adding to 200001100100112 its reverse (211001001100002), we get a palindrome (411002101200114).

The spelling of 200001100100112 in words is "two hundred trillion, one billion, one hundred million, one hundred thousand, one hundred twelve".