201441141100 has 72 divisors (see below), whose sum is σ = 452682901440. Its totient is φ = 77754223680.

The previous prime is 201441141089. The next prime is 201441141103. The reversal of 201441141100 is 1141144102.

It is not an unprimeable number, because it can be changed into a prime (201441141103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74691 + ... + 639109.

It is an arithmetic number, because the mean of its divisors is an integer number (6287262520).

Almost surely, 2^201441141100 is an apocalyptic number.

201441141100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201441141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226341450720).

201441141100 is an abundant number, since it is smaller than the sum of its proper divisors (251241760340).

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

201441141100 is a wasteful number, since it uses less digits than its factorization.

201441141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564559 (or 564552 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 201441141100 its reverse (1141144102), we get a palindrome (202582285202).

The spelling of 201441141100 in words is "two hundred one billion, four hundred forty-one million, one hundred forty-one thousand, one hundred".