100110101110103 has 16 divisors (see below), whose sum is σ = 114466945232640. Its totient is φ = 85767117359616.

The previous prime is 100110101110099. The next prime is 100110101110121. The reversal of 100110101110103 is 301011101011001.

It is not a de Polignac number, because 100110101110103 - 2² = 100110101110099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110101110153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119765576 + ... + 120598562.

It is an arithmetic number, because the mean of its divisors is an integer number (7154184077040).

Almost surely, 2^{100110101110103} is an apocalyptic number.

100110101110103 is a deficient number, since it is larger than the sum of its proper divisors (14356844122537).

100110101110103 is an equidigital number, since it uses as much as digits as its factorization.

100110101110103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841286.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 100110101110103 its reverse (301011101011001), we get a palindrome (401121202121104).

The spelling of 100110101110103 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred ten thousand, one hundred three".