201120200100 has 144 divisors (see below), whose sum is σ = 647420437440. Its totient is φ = 53561030400.

The previous prime is 201120200089. The next prime is 201120200101. The reversal of 201120200100 is 1002021102.

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 (201120200101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2005759 + ... + 2103641.

It is an arithmetic number, because the mean of its divisors is an integer number (4495975260).

Almost surely, 2^201120200100 is an apocalyptic number.

201120200100 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 201120200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323710218720).

201120200100 is an abundant number, since it is smaller than the sum of its proper divisors (446300237340).

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

201120200100 is a wasteful number, since it uses less digits than its factorization.

201120200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98667 (or 98654 counting only the distinct ones).

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

Adding to 201120200100 its reverse (1002021102), we get a palindrome (202122221202).

The spelling of 201120200100 in words is "two hundred one billion, one hundred twenty million, two hundred thousand, one hundred".