100112012100011 has 2 divisors, whose sum is σ = 100112012100012. Its totient is φ = 100112012100010.

The previous prime is 100112012099977. The next prime is 100112012100017. The reversal of 100112012100011 is 110001210211001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112012100011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112012099965 and 100112012100001.

It is not a weakly prime, because it can be changed into another prime (100112012100017) 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, 50056006050005 + 50056006050006.

It is an arithmetic number, because the mean of its divisors is an integer number (50056006050006).

Almost surely, 2^{100112012100011} is an apocalyptic number.

100112012100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112012100011 is an equidigital number, since it uses as much as digits as its factorization.

100112012100011 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 11.

Adding to 100112012100011 its reverse (110001210211001), we get a palindrome (210113222311012).

The spelling of 100112012100011 in words is "one hundred trillion, one hundred twelve billion, twelve million, one hundred thousand, eleven".