201100012200 has 240 divisors, whose sum is σ = 700471117500. Its totient is φ = 53471508480.

The previous prime is 201100012189. The next prime is 201100012213. The reversal of 201100012200 is 2210001102.

It can be written as a sum of positive squares in 6 ways, for example, as 156146683716 + 44953328484 = 395154^2 + 212022^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5636016 + ... + 5671584.

Almost surely, 2^201100012200 is an apocalyptic number.

201100012200 is a gapful number since it is divisible by the number (20) 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 201100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350235558750).

201100012200 is an abundant number, since it is smaller than the sum of its proper divisors (499371105300).

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

201100012200 is a wasteful number, since it uses less digits than its factorization.

201100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35946 (or 35928 counting only the distinct ones).

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

Adding to 201100012200 its reverse (2210001102), we get a palindrome (203310013302).

The spelling of 201100012200 in words is "two hundred one billion, one hundred million, twelve thousand, two hundred".