2011044100041 has 12 divisors (see below), whose sum is σ = 2904876161460. Its totient is φ = 1340680058880.

The previous prime is 2011044100031. The next prime is 2011044100067. The reversal of 2011044100041 is 1400014401102.

2011044100041 is a `hidden beast` number, since 201 + 10 + 4 + 410 + 0 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 350231974416 + 1660812125625 = 591804^2 + 1288725^2 .

It is not a de Polignac number, because 2011044100041 - 2¹⁸ = 2011043837897 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2011044099987 and 2011044100023.

It is not an unprimeable number, because it can be changed into a prime (2011044100031) 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 11 ways as a sum of consecutive naturals, for example, 511656 + ... + 2069753.

It is an arithmetic number, because the mean of its divisors is an integer number (242073013455).

Almost surely, 2^{2011044100041} is an apocalyptic number.

It is an amenable number.

2011044100041 is a deficient number, since it is larger than the sum of its proper divisors (893832061419).

2011044100041 is a wasteful number, since it uses less digits than its factorization.

2011044100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667976 (or 2667973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2011044100041 its reverse (1400014401102), we get a palindrome (3411058501143).

The spelling of 2011044100041 in words is "two trillion, eleven billion, forty-four million, one hundred thousand, forty-one".