201340664100 has 81 divisors (see below), whose sum is σ = 631133322547. Its totient is φ = 53687254080.

The previous prime is 201340664093. The next prime is 201340664149. The reversal of 201340664100 is 1466043102.

The square root of 201340664100 is 448710.

It is a perfect power (a square), and thus also a powerful number.

201340664100 is a `hidden beast` number, since 2 + 0 + 13 + 4 + 0 + 6 + 641 + 0 + 0 = 666.

201340664100 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 4 ways, for example, as 30659309604 + 170681354496 = 175098^2 + 413136^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 13453822 + ... + 13468778.

Almost surely, 2^201340664100 is an apocalyptic number.

201340664100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201340664100 is the 448710-th square number.

It is an amenable number.

201340664100 is an abundant number, since it is smaller than the sum of its proper divisors (429792658447).

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

201340664100 is an equidigital number, since it uses as much as digits as its factorization.

201340664100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29934 (or 14967 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 201340664100 in words is "two hundred one billion, three hundred forty million, six hundred sixty-four thousand, one hundred".