201101500 has 96 divisors (see below), whose sum is σ = 474102720. Its totient is φ = 74240000.

The previous prime is 201101477. The next prime is 201101501. The reversal of 201101500 is 5101102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501300 + ... + 501700.

It is an arithmetic number, because the mean of its divisors is an integer number (4938570).

Almost surely, 2^201101500 is an apocalyptic number.

201101500 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 201101500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237051360).

201101500 is an abundant number, since it is smaller than the sum of its proper divisors (273001220).

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

201101500 is a wasteful number, since it uses less digits than its factorization.

201101500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 201101500 is about 14181.0260559665. The cubic root of 201101500 is about 585.8751845432.

Adding to 201101500 its reverse (5101102), we get a palindrome (206202602).

It can be divided in two parts, 201101 and 500, that added together give a square (201601 = 449²).

The spelling of 201101500 in words is "two hundred one million, one hundred one thousand, five hundred".