10100000110103 has 2 divisors, whose sum is σ = 10100000110104. Its totient is φ = 10100000110102.

The previous prime is 10100000110093. The next prime is 10100000110111. The reversal of 10100000110103 is 30101100000101.

It is an a-pointer prime, because the next prime (10100000110111) can be obtained adding 10100000110103 to its sum of digits (8).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000110103 - 2¹⁰ = 10100000109079 is a prime.

It is a super-2 number, since 2×10100000110103² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100000110153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000055051 + 5050000055052.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000055052).

Almost surely, 2^{10100000110103} is an apocalyptic number.

10100000110103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000110103 is an equidigital number, since it uses as much as digits as its factorization.

10100000110103 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 10100000110103 its reverse (30101100000101), we get a palindrome (40201100110204).

The spelling of 10100000110103 in words is "ten trillion, one hundred billion, one hundred ten thousand, one hundred three".