10001100110103 has 16 divisors (see below), whose sum is σ = 14816949727200. Its totient is φ = 6667172769600.

The previous prime is 10001100110047. The next prime is 10001100110107. The reversal of 10001100110103 is 30101100110001.

It is not a de Polignac number, because 10001100110103 - 2¹³ = 10001100101911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5505468 + ... + 7093121.

It is an arithmetic number, because the mean of its divisors is an integer number (926059357950).

Almost surely, 2^{10001100110103} is an apocalyptic number.

10001100110103 is a deficient number, since it is larger than the sum of its proper divisors (4815849617097).

10001100110103 is a wasteful number, since it uses less digits than its factorization.

10001100110103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627999 (or 12627993 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10001100110103 its reverse (30101100110001), we get a palindrome (40102200220104).

The spelling of 10001100110103 in words is "ten trillion, one billion, one hundred million, one hundred ten thousand, one hundred three".