101010100011103 has 2 divisors, whose sum is σ = 101010100011104. Its totient is φ = 101010100011102.

The previous prime is 101010100011031. The next prime is 101010100011151. The reversal of 101010100011103 is 301110001010101.

Together with previous prime (101010100011031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (301110001010101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010100011103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101010100011103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010100011803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505050005551 + 50505050005552.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050005552).

Almost surely, 2^{101010100011103} is an apocalyptic number.

101010100011103 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100011103 is an equidigital number, since it uses as much as digits as its factorization.

101010100011103 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101010100011103 its reverse (301110001010101), we get a palindrome (402120101021204).

The spelling of 101010100011103 in words is "one hundred one trillion, ten billion, one hundred million, eleven thousand, one hundred three".