201045114200 has 96 divisors (see below), whose sum is σ = 562321747200. Its totient is φ = 65301863040.

The previous prime is 201045114197. The next prime is 201045114209. The reversal of 201045114200 is 2411540102.

It is a happy number.

It is a super-4 number, since 4×201045114200⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201045114209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3752444 + ... + 3805643.

It is an arithmetic number, because the mean of its divisors is an integer number (5857518200).

Almost surely, 2^201045114200 is an apocalyptic number.

201045114200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201045114200 is an abundant number, since it is smaller than the sum of its proper divisors (361276633000).

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

201045114200 is a wasteful number, since it uses less digits than its factorization.

201045114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558129 (or 7558120 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 201045114200 its reverse (2411540102), we get a palindrome (203456654302).

The spelling of 201045114200 in words is "two hundred one billion, forty-five million, one hundred fourteen thousand, two hundred".