120200200200100 has 36 divisors (see below), whose sum is σ = 260855906692500. Its totient is φ = 48076122060160.

The previous prime is 120200200200077. The next prime is 120200200200221. The reversal of 120200200200100 is 1002002002021.

120200200200100 is digitally balanced in base 3, 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 6 ways, for example, as 8740998684324 + 111459201515776 = 2956518^2 + 10557424^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48254275 + ... + 50684074.

It is an arithmetic number, because the mean of its divisors is an integer number (7245997408125).

Almost surely, 2^{120200200200100} is an apocalyptic number.

120200200200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200200200100 is an abundant number, since it is smaller than the sum of its proper divisors (140655706492400).

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

120200200200100 is a wasteful number, since it uses less digits than its factorization.

120200200200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98950512 (or 98950505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120200200200100 its reverse (1002002002021), we get a palindrome (121202202202121).

The spelling of 120200200200100 in words is "one hundred twenty trillion, two hundred billion, two hundred million, two hundred thousand, one hundred".