10010001100103 has 2 divisors, whose sum is σ = 10010001100104. Its totient is φ = 10010001100102.

The previous prime is 10010001100087. The next prime is 10010001100123. The reversal of 10010001100103 is 30100110001001.

It is a weak prime.

It is an emirp because it is prime and its reverse (30100110001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010001100103 - 2⁴ = 10010001100087 is a prime.

It is a super-2 number, since 2×10010001100103² (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 (10010001100123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000550051 + 5005000550052.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000550052).

Almost surely, 2^{10010001100103} is an apocalyptic number.

10010001100103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010001100103 is an equidigital number, since it uses as much as digits as its factorization.

10010001100103 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 10010001100103 its reverse (30100110001001), we get a palindrome (40110111101104).

The spelling of 10010001100103 in words is "ten trillion, ten billion, one million, one hundred thousand, one hundred three".