201001200 has 240 divisors, whose sum is σ = 697455360. Its totient is φ = 49295360.

The previous prime is 201001181. The next prime is 201001219. The reversal of 201001200 is 2100102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201001181) and next prime (201001219).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×201001200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203517 + ... + 1203683.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2^201001200 is an apocalyptic number.

201001200 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 201001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348727680).

201001200 is an abundant number, since it is smaller than the sum of its proper divisors (496454160).

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

201001200 is a wasteful number, since it uses less digits than its factorization.

201001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 201001200 is about 14177.4891994316. The cubic root of 201001200 is about 585.7777659873. Note that the first 4 decimals are identical.

Adding to 201001200 its reverse (2100102), we get a palindrome (203101302).

The spelling of 201001200 in words is "two hundred one million, one thousand, two hundred".