10100100103 has 4 divisors (see below), whose sum is σ = 10147968088. Its totient is φ = 10052232120.

The previous prime is 10100100079. The next prime is 10100100133. The reversal of 10100100103 is 30100100101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10100100103 - 2¹⁷ = 10099969031 is a prime.

It is a super-2 number, since 2×10100100103² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23933676 + ... + 23934097.

It is an arithmetic number, because the mean of its divisors is an integer number (2536992022).

Almost surely, 2^10100100103 is an apocalyptic number.

10100100103 is a deficient number, since it is larger than the sum of its proper divisors (47867985).

10100100103 is an equidigital number, since it uses as much as digits as its factorization.

10100100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47867984.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10100100103 its reverse (30100100101), we get a palindrome (40200200204).

The spelling of 10100100103 in words is "ten billion, one hundred million, one hundred thousand, one hundred three".