201140022100 has 36 divisors (see below), whose sum is σ = 436494304764. Its totient is φ = 80452238080.

The previous prime is 201140022089. The next prime is 201140022101. The reversal of 201140022100 is 1220041102.

It is a happy number.

201140022100 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 9460674756 + 191679347344 = 97266^2 + 437812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201140022101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3232482 + ... + 3294118.

It is an arithmetic number, because the mean of its divisors is an integer number (12124841799).

Almost surely, 2^201140022100 is an apocalyptic number.

201140022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201140022100 is an abundant number, since it is smaller than the sum of its proper divisors (235354282664).

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

201140022100 is a wasteful number, since it uses less digits than its factorization.

201140022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94284 (or 94277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201140022100 its reverse (1220041102), we get a palindrome (202360063202).

The spelling of 201140022100 in words is "two hundred one billion, one hundred forty million, twenty-two thousand, one hundred".