10105110011 has 2 divisors, whose sum is σ = 10105110012. Its totient is φ = 10105110010.

The previous prime is 10105109983. The next prime is 10105110017. The reversal of 10105110011 is 11001150101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10105110011 is a prime.

It is a super-2 number, since 2×10105110011² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105109974 and 10105110001.

It is not a weakly prime, because it can be changed into another prime (10105110017) 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 as a sum of consecutive naturals, namely, 5052555005 + 5052555006.

It is an arithmetic number, because the mean of its divisors is an integer number (5052555006).

Almost surely, 2^10105110011 is an apocalyptic number.

10105110011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105110011 is an equidigital number, since it uses as much as digits as its factorization.

10105110011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 10105110011 its reverse (11001150101), we get a palindrome (21106260112).

The spelling of 10105110011 in words is "ten billion, one hundred five million, one hundred ten thousand, eleven".