201100000 has 72 divisors (see below), whose sum is σ = 495108936. Its totient is φ = 80400000.

The previous prime is 201099937. The next prime is 201100001. The reversal of 201100000 is 1102.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98995 + ... + 101005.

It is an arithmetic number, because the mean of its divisors is an integer number (6876513).

Almost surely, 2^201100000 is an apocalyptic number.

201100000 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 201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247554468).

201100000 is an abundant number, since it is smaller than the sum of its proper divisors (294008936).

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

201100000 is an frugal number, since it uses more digits than its factorization.

201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 201100000 is about 14180.9731682984. The cubic root of 201100000 is about 585.8737278743.

Adding to 201100000 its reverse (1102), we get a palindrome (201101102).

The spelling of 201100000 in words is "two hundred one million, one hundred thousand".