201100200000 has 336 divisors, whose sum is σ = 760078101888. Its totient is φ = 45964800000.

The previous prime is 201100199999. The next prime is 201100200019. The reversal of 201100200000 is 2001102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4176060 + ... + 4223940.

It is an arithmetic number, because the mean of its divisors is an integer number (2262137208).

Almost surely, 2^201100200000 is an apocalyptic number.

201100200000 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 201100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380039050944).

201100200000 is an abundant number, since it is smaller than the sum of its proper divisors (558977901888).

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

201100200000 is an frugal number, since it uses more digits than its factorization.

201100200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47928 (or 47898 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 201100200000 its reverse (2001102), we get a palindrome (201102201102).

The spelling of 201100200000 in words is "two hundred one billion, one hundred million, two hundred thousand".