200100103120 has 40 divisors (see below), whose sum is σ = 476579887560. Its totient is φ = 78087843840.

The previous prime is 200100103061. The next prime is 200100103121. The reversal of 200100103120 is 21301001002.

200100103120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15918364224 + 184181738896 = 126168^2 + 429164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200100103097 and 200100103106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30499785 + ... + 30506344.

It is an arithmetic number, because the mean of its divisors is an integer number (11914497189).

Almost surely, 2^200100103120 is an apocalyptic number.

200100103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100103120 is an abundant number, since it is smaller than the sum of its proper divisors (276479784440).

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

200100103120 is a wasteful number, since it uses less digits than its factorization.

200100103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61006183 (or 61006177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 200100103120 its reverse (21301001002), we get a palindrome (221401104122).

The spelling of 200100103120 in words is "two hundred billion, one hundred million, one hundred three thousand, one hundred twenty".