100111010110103 has 2 divisors, whose sum is σ = 100111010110104. Its totient is φ = 100111010110102.

The previous prime is 100111010110073. The next prime is 100111010110127. The reversal of 100111010110103 is 301011010111001.

It is a strong prime.

It is an emirp because it is prime and its reverse (301011010111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111010110103 - 2¹⁶ = 100111010044567 is a prime.

It is a super-3 number, since 3×100111010110103³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111010170103) 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, 50055505055051 + 50055505055052.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505055052).

Almost surely, 2^{100111010110103} is an apocalyptic number.

100111010110103 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010110103 is an equidigital number, since it uses as much as digits as its factorization.

100111010110103 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 11.

Adding to 100111010110103 its reverse (301011010111001), we get a palindrome (401122020221104).

The spelling of 100111010110103 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred ten thousand, one hundred three".