201100032 has 216 divisors, whose sum is σ = 682581536. Its totient is φ = 55738368.

The previous prime is 201100027. The next prime is 201100049. The reversal of 201100032 is 230001102.

It is a happy number.

It is a super-3 number, since 3×201100032³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201099987 and 201100023.

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 23 ways as a sum of consecutive naturals, for example, 596568 + ... + 596904.

Almost surely, 2^201100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341290768).

201100032 is an abundant number, since it is smaller than the sum of its proper divisors (481481504).

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

201100032 is a wasteful number, since it uses less digits than its factorization.

201100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201100032 is about 14180.9742965707. The cubic root of 201100032 is about 585.8737589499.

Adding to 201100032 its reverse (230001102), we get a palindrome (431101134).

The spelling of 201100032 in words is "two hundred one million, one hundred thousand, thirty-two".