201000444142200 has 96 divisors (see below), whose sum is σ = 623176582479360. Its totient is φ = 53593649136000.

The previous prime is 201000444142063. The next prime is 201000444142231. The reversal of 201000444142200 is 2241444000102.

201000444142200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15240226 + ... + 25184625.

It is an arithmetic number, because the mean of its divisors is an integer number (6491422734160).

Almost surely, 2^{201000444142200} is an apocalyptic number.

201000444142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000444142200 is an abundant number, since it is smaller than the sum of its proper divisors (422176138337160).

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

201000444142200 is a wasteful number, since it uses less digits than its factorization.

201000444142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40433157 (or 40433148 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 201000444142200 its reverse (2241444000102), we get a palindrome (203241888142302).

The spelling of 201000444142200 in words is "two hundred one trillion, four hundred forty-four million, one hundred forty-two thousand, two hundred".