101011102100011 has 2 divisors, whose sum is σ = 101011102100012. Its totient is φ = 101011102100010.

The previous prime is 101011102099987. The next prime is 101011102100089. The reversal of 101011102100011 is 110001201110101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101011102100011 - 2¹⁵ = 101011102067243 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011105100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505551050005 + 50505551050006.

It is an arithmetic number, because the mean of its divisors is an integer number (50505551050006).

Almost surely, 2^{101011102100011} is an apocalyptic number.

101011102100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011102100011 is an equidigital number, since it uses as much as digits as its factorization.

101011102100011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011102100011 its reverse (110001201110101), we get a palindrome (211012303210112).

The spelling of 101011102100011 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred thousand, eleven".