41101200210114 has 192 divisors, whose sum is σ = 103474599171840. Its totient is φ = 11670921884160.

The previous prime is 41101200210097. The next prime is 41101200210121.

41101200210114 is a `hidden beast` number, since 41 + 101 + 200 + 210 + 114 = 666.

41101200210114 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84100587 + ... + 84587889.

It is an arithmetic number, because the mean of its divisors is an integer number (538930204020).

Almost surely, 2^{41101200210114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41101200210114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51737299585920).

41101200210114 is an abundant number, since it is smaller than the sum of its proper divisors (62373398961726).

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

41101200210114 is a wasteful number, since it uses less digits than its factorization.

41101200210114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487785 (or 487782 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 41101200 and 210114, that added together give a palindrome (41311314).

The spelling of 41101200210114 in words is "forty-one trillion, one hundred one billion, two hundred million, two hundred ten thousand, one hundred fourteen".