41101004100 has 144 divisors (see below), whose sum is σ = 129201230592. Its totient is φ = 10027530240.

The previous prime is 41101004089. The next prime is 41101004101. The reversal of 41101004100 is 140010114.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (41101004101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 394069 + ... + 487331.

It is an arithmetic number, because the mean of its divisors is an integer number (897230768).

Almost surely, 2^41101004100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41101004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64600615296).

41101004100 is an abundant number, since it is smaller than the sum of its proper divisors (88100226492).

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

41101004100 is a wasteful number, since it uses less digits than its factorization.

41101004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93406 (or 93399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 41101004100 its reverse (140010114), we get a palindrome (41241014214).

The spelling of 41101004100 in words is "forty-one billion, one hundred one million, four thousand, one hundred".