120100002100 has 108 divisors (see below), whose sum is σ = 282691331076. Its totient is φ = 44268456960.

The previous prime is 120100002097. The next prime is 120100002179. The reversal of 120100002100 is 1200001021.

It can be written as a sum of positive squares in 18 ways, for example, as 116671431184 + 3428570916 = 341572^2 + 58554^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 10353904 + ... + 10365496.

Almost surely, 2^120100002100 is an apocalyptic number.

120100002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141345665538).

120100002100 is an abundant number, since it is smaller than the sum of its proper divisors (162591328976).

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

120100002100 is a wasteful number, since it uses less digits than its factorization.

120100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 120100002100 its reverse (1200001021), we get a palindrome (121300003121).

The spelling of 120100002100 in words is "one hundred twenty billion, one hundred million, two thousand, one hundred".