201525100 has 72 divisors (see below), whose sum is σ = 502412288. Its totient is φ = 68731200.

The previous prime is 201525083. The next prime is 201525109. The reversal of 201525100 is 1525102.

It is a super-3 number, since 3×201525100³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (201525109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155455 + ... + 156745.

Almost surely, 2^201525100 is an apocalyptic number.

201525100 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 201525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251206144).

201525100 is an abundant number, since it is smaller than the sum of its proper divisors (300887188).

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

201525100 is a wasteful number, since it uses less digits than its factorization.

201525100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 201525100 is about 14195.9536488395. The cubic root of 201525100 is about 586.2862583521.

It can be divided in two parts, 20152 and 5100, that added together give a palindrome (25252).

The spelling of 201525100 in words is "two hundred one million, five hundred twenty-five thousand, one hundred".