100111120122011 has 2 divisors, whose sum is σ = 100111120122012. Its totient is φ = 100111120122010.

The previous prime is 100111120121921. The next prime is 100111120122017. The reversal of 100111120122011 is 110221021111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111120122011 - 2¹⁸ = 100111119859867 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111120122017) 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, 50055560061005 + 50055560061006.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560061006).

Almost surely, 2^{100111120122011} is an apocalyptic number.

100111120122011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111120122011 is an equidigital number, since it uses as much as digits as its factorization.

100111120122011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111120122011 its reverse (110221021111001), we get a palindrome (210332141233012).

The spelling of 100111120122011 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, one hundred twenty-two thousand, eleven".