201044420100 has 108 divisors (see below), whose sum is σ = 630267605604. Its totient is φ = 53602909440.

The previous prime is 201044420053. The next prime is 201044420153. The reversal of 201044420100 is 1024440102.

201044420100 is a `hidden beast` number, since 20 + 1 + 0 + 444 + 201 + 0 + 0 = 666.

201044420100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19624647744 + 181419772356 = 140088^2 + 425934^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6750442 + ... + 6780158.

It is an arithmetic number, because the mean of its divisors is an integer number (5835811163).

Almost surely, 2^201044420100 is an apocalyptic number.

201044420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201044420100 is an abundant number, since it is smaller than the sum of its proper divisors (429223185504).

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

201044420100 is a wasteful number, since it uses less digits than its factorization.

201044420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37254 (or 37244 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201044420100 its reverse (1024440102), we get a palindrome (202068860202).

The spelling of 201044420100 in words is "two hundred one billion, forty-four million, four hundred twenty thousand, one hundred".