100120102011200 has 42 divisors (see below), whose sum is σ = 246358026015246. Its totient is φ = 40048040803840.

The previous prime is 100120102011187. The next prime is 100120102011203. The reversal of 100120102011200 is 2110201021001.

It can be written as a sum of positive squares in 3 ways, for example, as 6561220774144 + 93558881237056 = 2561488^2 + 9672584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120102011203) 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 5 ways as a sum of consecutive naturals, for example, 31287530279 + ... + 31287533478.

Almost surely, 2^{100120102011200} is an apocalyptic number.

100120102011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120102011200 is an abundant number, since it is smaller than the sum of its proper divisors (146237924004046).

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

100120102011200 is an equidigital number, since it uses as much as digits as its factorization.

100120102011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62575063779 (or 62575063764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100120102011200 its reverse (2110201021001), we get a palindrome (102230303032201).

The spelling of 100120102011200 in words is "one hundred trillion, one hundred twenty billion, one hundred two million, eleven thousand, two hundred".