100105500510011 has 2 divisors, whose sum is σ = 100105500510012. Its totient is φ = 100105500510010.

The previous prime is 100105500510007. The next prime is 100105500510047. The reversal of 100105500510011 is 110015005501001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100105500510011 - 2² = 100105500510007 is a prime.

It is a super-2 number, since 2×100105500510011² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105500510611) 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, 50052750255005 + 50052750255006.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750255006).

Almost surely, 2^{100105500510011} is an apocalyptic number.

100105500510011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500510011 is an equidigital number, since it uses as much as digits as its factorization.

100105500510011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 20.

The spelling of 100105500510011 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred ten thousand, eleven".