11010100414041 has 24 divisors (see below), whose sum is σ = 16081453419200. Its totient is φ = 7258377193056.

The previous prime is 11010100414037. The next prime is 11010100414073. The reversal of 11010100414041 is 14041400101011.

11010100414041 is a `hidden beast` number, since 110 + 1 + 0 + 100 + 414 + 0 + 41 = 666.

It is not a de Polignac number, because 11010100414041 - 2² = 11010100414037 is a prime.

It is a super-2 number, since 2×11010100414041² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11010100414141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18565306 + ... + 19149171.

Almost surely, 2^{11010100414041} is an apocalyptic number.

It is an amenable number.

11010100414041 is a deficient number, since it is larger than the sum of its proper divisors (5071353005159).

11010100414041 is a wasteful number, since it uses less digits than its factorization.

11010100414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37714845 (or 37714842 counting only the distinct ones).

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

Adding to 11010100414041 its reverse (14041400101011), we get a palindrome (25051500515052).

The spelling of 11010100414041 in words is "eleven trillion, ten billion, one hundred million, four hundred fourteen thousand, forty-one".