110010000100103 has 2 divisors, whose sum is σ = 110010000100104. Its totient is φ = 110010000100102.

The previous prime is 110010000100081. The next prime is 110010000100183. The reversal of 110010000100103 is 301001000010011.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110010000100103 is a prime.

It is a super-2 number, since 2×110010000100103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110010000100183) 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, 55005000050051 + 55005000050052.

It is an arithmetic number, because the mean of its divisors is an integer number (55005000050052).

Almost surely, 2^{110010000100103} is an apocalyptic number.

110010000100103 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010000100103 is an equidigital number, since it uses as much as digits as its factorization.

110010000100103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 110010000100103 its reverse (301001000010011), we get a palindrome (411011000110114).

The spelling of 110010000100103 in words is "one hundred ten trillion, ten billion, one hundred thousand, one hundred three".