100105111101041 has 2 divisors, whose sum is σ = 100105111101042. Its totient is φ = 100105111101040.

The previous prime is 100105111101029. The next prime is 100105111101103. The reversal of 100105111101041 is 140101111501001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83001592891441 + 17103518209600 = 9110521^2 + 4135640^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105111101041 - 2¹⁰ = 100105111100017 is a prime.

It is a super-2 number, since 2×100105111101041² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100105111101001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052555550520 + 50052555550521.

It is an arithmetic number, because the mean of its divisors is an integer number (50052555550521).

Almost surely, 2^{100105111101041} is an apocalyptic number.

It is an amenable number.

100105111101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105111101041 is an equidigital number, since it uses as much as digits as its factorization.

100105111101041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 17.

Adding to 100105111101041 its reverse (140101111501001), we get a palindrome (240206222602042).

The spelling of 100105111101041 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, one hundred one thousand, forty-one".