120201100200 has 240 divisors, whose sum is σ = 421785621180. Its totient is φ = 31722762240.

The previous prime is 120201100169. The next prime is 120201100207. The reversal of 120201100200 is 2001102021.

It can be written as a sum of positive squares in 6 ways, for example, as 18454135716 + 101746964484 = 135846^2 + 318978^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120201100207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1533154 + ... + 1609646.

Almost surely, 2^120201100200 is an apocalyptic number.

120201100200 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 120201100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210892810590).

120201100200 is an abundant number, since it is smaller than the sum of its proper divisors (301584520980).

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

120201100200 is a wasteful number, since it uses less digits than its factorization.

120201100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76618 (or 76600 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120201100200 its reverse (2001102021), we get a palindrome (122202202221).

The spelling of 120201100200 in words is "one hundred twenty billion, two hundred one million, one hundred thousand, two hundred".