100011011041 has 2 divisors, whose sum is σ = 100011011042. Its totient is φ = 100011011040.

The previous prime is 100011011039. The next prime is 100011011239. The reversal of 100011011041 is 140110110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98822209600 + 1188801441 = 314360^2 + 34479^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011011041 - 2¹ = 100011011039 is a prime.

Together with 100011011039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100011014041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005505520 + 50005505521.

It is an arithmetic number, because the mean of its divisors is an integer number (50005505521).

Almost surely, 2^100011011041 is an apocalyptic number.

It is an amenable number.

100011011041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011011041 is an equidigital number, since it uses as much as digits as its factorization.

100011011041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011011041 its reverse (140110110001), we get a palindrome (240121121042).

The spelling of 100011011041 in words is "one hundred billion, eleven million, eleven thousand, forty-one".