41101002012 has 96 divisors (see below), whose sum is σ = 112118598144. Its totient is φ = 11475360000.

The previous prime is 41101002011. The next prime is 41101002029. The reversal of 41101002012 is 21020010114.

It is a happy number.

It is a super-3 number, since 3×41101002012³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41101002011) 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 31 ways as a sum of consecutive naturals, for example, 1099062 + ... + 1135842.

It is an arithmetic number, because the mean of its divisors is an integer number (1167902064).

Almost surely, 2^41101002012 is an apocalyptic number.

41101002012 is a gapful number since it is divisible by the number (42) 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 41101002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56059299072).

41101002012 is an abundant number, since it is smaller than the sum of its proper divisors (71017596132).

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

41101002012 is a wasteful number, since it uses less digits than its factorization.

41101002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37099 (or 37097 counting only the distinct ones).

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

Adding to 41101002012 its reverse (21020010114), we get a palindrome (62121012126).

The spelling of 41101002012 in words is "forty-one billion, one hundred one million, two thousand, twelve".