110110112100103 has 2 divisors, whose sum is σ = 110110112100104. Its totient is φ = 110110112100102.

The previous prime is 110110112100083. The next prime is 110110112100143. The reversal of 110110112100103 is 301001211011011.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110110112100103 is a prime.

It is a super-2 number, since 2×110110112100103² (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 (110110112100143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055056050051 + 55055056050052.

It is an arithmetic number, because the mean of its divisors is an integer number (55055056050052).

Almost surely, 2^{110110112100103} is an apocalyptic number.

110110112100103 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110112100103 is an equidigital number, since it uses as much as digits as its factorization.

110110112100103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 110110112100103 its reverse (301001211011011), we get a palindrome (411111323111114).

The spelling of 110110112100103 in words is "one hundred ten trillion, one hundred ten billion, one hundred twelve million, one hundred thousand, one hundred three".