201140340100 has 54 divisors (see below), whose sum is σ = 507735699450. Its totient is φ = 68962400640.

The previous prime is 201140340097. The next prime is 201140340157. The reversal of 201140340100 is 1043041102.

It can be written as a sum of positive squares in 3 ways, for example, as 51228890244 + 149911449856 = 226338^2 + 387184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20519625 + ... + 20529424.

Almost surely, 2^201140340100 is an apocalyptic number.

201140340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201140340100 is an abundant number, since it is smaller than the sum of its proper divisors (306595359350).

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

201140340100 is a wasteful number, since it uses less digits than its factorization.

201140340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41049077 (or 41049063 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201140340100 its reverse (1043041102), we get a palindrome (202183381202).

The spelling of 201140340100 in words is "two hundred one billion, one hundred forty million, three hundred forty thousand, one hundred".