201120536500 has 96 divisors (see below), whose sum is σ = 473206589856. Its totient is φ = 74233036800.

The previous prime is 201120536453. The next prime is 201120536557. The reversal of 201120536500 is 5635021102.

201120536500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 189186721936 + 11933814564 = 434956^2 + 109242^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32451402 + ... + 32457598.

It is an arithmetic number, because the mean of its divisors is an integer number (4929235311).

Almost surely, 2^201120536500 is an apocalyptic number.

201120536500 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 201120536500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236603294928).

201120536500 is an abundant number, since it is smaller than the sum of its proper divisors (272086053356).

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

201120536500 is a wasteful number, since it uses less digits than its factorization.

201120536500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 201120536500 its reverse (5635021102), we get a palindrome (206755557602).

The spelling of 201120536500 in words is "two hundred one billion, one hundred twenty million, five hundred thirty-six thousand, five hundred".